72595952 has 40 divisors (see below), whose sum is σ = 165249840. Its totient is φ = 30458880.

The previous prime is 72595931. The next prime is 72595973. The reversal of 72595952 is 25959527.

It is an interprime number because it is at equal distance from previous prime (72595931) and next prime (72595973).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13577 + ... + 18152.

It is an arithmetic number, because the mean of its divisors is an integer number (4131246).

Almost surely, 2^72595952 is an apocalyptic number.

It is an amenable number.

72595952 is an abundant number, since it is smaller than the sum of its proper divisors (92653888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72595952 is a wasteful number, since it uses less digits than its factorization.

72595952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31761 (or 31755 counting only the distinct ones).

The product of its digits is 283500, while the sum is 44.

The square root of 72595952 is about 8520.3258153665. The cubic root of 72595952 is about 417.1614179161.

The spelling of 72595952 in words is "seventy-two million, five hundred ninety-five thousand, nine hundred fifty-two".