72075657 has 16 divisors (see below), whose sum is σ = 97161408. Its totient is φ = 47523840.

The previous prime is 72075599. The next prime is 72075691. The reversal of 72075657 is 75657027.

It is not a de Polignac number, because 72075657 - 2⁸ = 72075401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72070657) 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, 162478 + ... + 162920.

It is an arithmetic number, because the mean of its divisors is an integer number (6072588).

Almost surely, 2^72075657 is an apocalyptic number.

It is an amenable number.

72075657 is a deficient number, since it is larger than the sum of its proper divisors (25085751).

72075657 is a wasteful number, since it uses less digits than its factorization.

72075657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920.

The product of its (nonzero) digits is 102900, while the sum is 39.

The square root of 72075657 is about 8489.7383351903. The cubic root of 72075657 is about 416.1624292510.

The spelling of 72075657 in words is "seventy-two million, seventy-five thousand, six hundred fifty-seven".