102072657 has 16 divisors (see below), whose sum is σ = 139793472. Its totient is φ = 66209280.

The previous prime is 102072637. The next prime is 102072671. The reversal of 102072657 is 756270201.

It is not a de Polignac number, because 102072657 - 2⁸ = 102072401 is a prime.

It is a super-3 number, since 3×102072657³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102072637) 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, 56553 + ... + 58329.

It is an arithmetic number, because the mean of its divisors is an integer number (8737092).

Almost surely, 2^102072657 is an apocalyptic number.

It is an amenable number.

102072657 is a deficient number, since it is larger than the sum of its proper divisors (37720815).

102072657 is a wasteful number, since it uses less digits than its factorization.

102072657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 102072657 is about 10103.1013555245. The cubic root of 102072657 is about 467.3437868272.

The spelling of 102072657 in words is "one hundred two million, seventy-two thousand, six hundred fifty-seven".