72053657 has 6 divisors (see below), whose sum is σ = 78022782. Its totient is φ = 66510912.

The previous prime is 72053647. The next prime is 72053717. The reversal of 72053657 is 75635027.

It can be written as a sum of positive squares in 3 ways, for example, as 4748041 + 67305616 = 2179^2 + 8204^2 .

It is not a de Polignac number, because 72053657 - 2⁶ = 72053593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72053617) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 213008 + ... + 213345.

It is an arithmetic number, because the mean of its divisors is an integer number (13003797).

Almost surely, 2^72053657 is an apocalyptic number.

It is an amenable number.

72053657 is a deficient number, since it is larger than the sum of its proper divisors (5969125).

72053657 is a wasteful number, since it uses less digits than its factorization.

72053657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426379 (or 426366 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 72053657 is about 8488.4425544384. The cubic root of 72053657 is about 416.1200825212.

The spelling of 72053657 in words is "seventy-two million, fifty-three thousand, six hundred fifty-seven".