72045657 has 12 divisors (see below), whose sum is σ = 107654820. Its totient is φ = 46374048.

The previous prime is 72045653. The next prime is 72045691. The reversal of 72045657 is 75654027.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 60512841 = 3396^2 + 7779^2 .

It is not a de Polignac number, because 72045657 - 2² = 72045653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72045653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137758 + ... + 138279.

It is an arithmetic number, because the mean of its divisors is an integer number (8971235).

Almost surely, 2^72045657 is an apocalyptic number.

It is an amenable number.

72045657 is a deficient number, since it is larger than the sum of its proper divisors (35609163).

72045657 is a wasteful number, since it uses less digits than its factorization.

72045657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276072 (or 276069 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 72045657 is about 8487.9713123926. The cubic root of 72045657 is about 416.1046815732.

The spelling of 72045657 in words is "seventy-two million, forty-five thousand, six hundred fifty-seven".