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72143778 = 23722347227
BaseRepresentation
bin1000100110011…
…01001110100010
312000202021122210
410103031032202
5121432100103
611054142550
71534132500
oct423151642
9160667583
1072143778
11377a5763
12201b1a56
1311c3c535
14981d670
156500e03
hex44cd3a2

72143778 has 96 divisors (see below), whose sum is σ = 179656704. Its totient is φ = 19211808.

The previous prime is 72143761. The next prime is 72143803. The reversal of 72143778 is 87734127.

It is a super-2 number, since 2×721437782 = 10409449408226568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317701 + ... + 317927.

It is an arithmetic number, because the mean of its divisors is an integer number (1871424).

Almost surely, 272143778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72143778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89828352).

72143778 is an abundant number, since it is smaller than the sum of its proper divisors (107512926).

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

72143778 is a wasteful number, since it uses less digits than its factorization.

72143778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 309 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 72143778 is about 8493.7493487858. The cubic root of 72143778 is about 416.2934974249.

The spelling of 72143778 in words is "seventy-two million, one hundred forty-three thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 47 49 69 94 98 138 141 147 161 227 282 294 322 329 454 483 658 681 966 987 1081 1127 1362 1589 1974 2162 2254 2303 3178 3243 3381 4606 4767 5221 6486 6762 6909 7567 9534 10442 10669 11123 13818 15134 15663 21338 22246 22701 31326 32007 33369 36547 45402 52969 64014 66738 73094 74683 105938 109641 149366 158907 219282 224049 245387 255829 317814 448098 490774 511658 522781 736161 767487 1045562 1472322 1534974 1568343 1717709 3136686 3435418 5153127 10306254 12023963 24047926 36071889 72143778