72538965 has 24 divisors (see below), whose sum is σ = 125999640. Its totient is φ = 38605824.

The previous prime is 72538951. The next prime is 72539003. The reversal of 72538965 is 56983527.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 509796 + 72029169 = 714^2 + 8487^2 .

It is not a de Polignac number, because 72538965 - 2⁵ = 72538933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72538965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24189 + ... + 27021.

It is an arithmetic number, because the mean of its divisors is an integer number (5249985).

Almost surely, 2^72538965 is an apocalyptic number.

It is an amenable number.

72538965 is a deficient number, since it is larger than the sum of its proper divisors (53460675).

72538965 is a wasteful number, since it uses less digits than its factorization.

72538965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3410 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 72538965 is about 8516.9809791968. The cubic root of 72538965 is about 417.0522336791.

The spelling of 72538965 in words is "seventy-two million, five hundred thirty-eight thousand, nine hundred sixty-five".