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72663885 = 345719271
BaseRepresentation
bin1000101010011…
…00001101001101
312001201201010000
410111030031031
5122100221020
611113234513
71541430030
oct425141515
9161651100
1072663885
11380204a8
1220402a39
13120921a8
149917017
1565a5090
hex454c34d

72663885 has 120 divisors (see below), whose sum is σ = 159325056. Its totient is φ = 31026240.

The previous prime is 72663863. The next prime is 72663917. The reversal of 72663885 is 58836627.

72663885 is a `hidden beast` number, since 7 + 2 + 6 + 638 + 8 + 5 = 666.

It is not a de Polignac number, because 72663885 - 29 = 72663373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (483840) is a multiple of the sum of its prime divisors (105).

It is a self number, because there is not a number n which added to its sum of digits gives 72663885.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1023400 + ... + 1023470.

Almost surely, 272663885 is an apocalyptic number.

It is an amenable number.

72663885 is an abundant number, since it is smaller than the sum of its proper divisors (86661171).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72663885 is a wasteful number, since it uses less digits than its factorization.

72663885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 72663885 is about 8524.3114091403. The cubic root of 72663885 is about 417.2914995108.

The spelling of 72663885 in words is "seventy-two million, six hundred sixty-three thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 71 81 95 105 133 135 171 189 213 285 315 355 361 399 405 497 513 567 639 665 855 945 1065 1083 1197 1349 1491 1539 1805 1917 1995 2485 2527 2565 2835 3195 3249 3591 4047 4473 5415 5751 5985 6745 7455 7581 7695 9443 9585 9747 10773 12141 12635 13419 16245 17955 20235 22365 22743 25631 28329 28755 29241 36423 37905 40257 47215 48735 53865 60705 67095 68229 76893 84987 109269 113715 128155 141645 146205 179417 182115 201285 204687 230679 254961 341145 384465 424935 538251 546345 692037 764883 897085 1023435 1153395 1274805 1614753 2076111 2691255 3460185 3824415 4844259 8073765 10380555 14532777 24221295 72663885