72591952 has 20 divisors (see below), whose sum is σ = 142954516. Its totient is φ = 35700480.

The previous prime is 72591943. The next prime is 72591973. The reversal of 72591952 is 25919527.

It can be written as a sum of positive squares in 2 ways, for example, as 1628176 + 70963776 = 1276^2 + 8424^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36213 + ... + 38164.

Almost surely, 2^72591952 is an apocalyptic number.

It is an amenable number.

72591952 is a deficient number, since it is larger than the sum of its proper divisors (70362564).

72591952 is a wasteful number, since it uses less digits than its factorization.

72591952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74446 (or 74440 counting only the distinct ones).

The product of its digits is 56700, while the sum is 40.

The square root of 72591952 is about 8520.0910793254. The cubic root of 72591952 is about 417.1537559815.

The spelling of 72591952 in words is "seventy-two million, five hundred ninety-one thousand, nine hundred fifty-two".