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72022257 = 3316715973
BaseRepresentation
bin1000100101011…
…11100011110001
312000112002222000
410102233203301
5121414203012
611051404213
71533115266
oct422574361
9160462860
1072022257
113772242a
1220153669
1311bc9128
1497cb26d
1564c9ddc
hex44af8f1

72022257 has 16 divisors (see below), whose sum is σ = 107345280. Its totient is φ = 47724336.

The previous prime is 72022231. The next prime is 72022259. The reversal of 72022257 is 75222027.

It is a happy number.

It is not a de Polignac number, because 72022257 - 26 = 72022193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 72022257.

It is not an unprimeable number, because it can be changed into a prime (72022259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3478 + ... + 12495.

It is an arithmetic number, because the mean of its divisors is an integer number (6709080).

Almost surely, 272022257 is an apocalyptic number.

It is an amenable number.

72022257 is a deficient number, since it is larger than the sum of its proper divisors (35323023).

72022257 is a wasteful number, since it uses less digits than its factorization.

72022257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16149 (or 16143 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 72022257 is about 8486.5927792018. The cubic root of 72022257 is about 416.0596272548.

The spelling of 72022257 in words is "seventy-two million, twenty-two thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 167 501 1503 4509 15973 47919 143757 431271 2667491 8002473 24007419 72022257