72595920 has 40 divisors (see below), whose sum is σ = 225048096. Its totient is φ = 19358848.

The previous prime is 72595891. The next prime is 72595927. The reversal of 72595920 is 2959527.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72595927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151002 + ... + 151481.

Almost surely, 2^72595920 is an apocalyptic number.

It is an amenable number.

72595920 is an abundant number, since it is smaller than the sum of its proper divisors (152452176).

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

72595920 is a wasteful number, since it uses less digits than its factorization.

72595920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302499 (or 302493 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 72595920 is about 8520.3239375038. The cubic root of 72595920 is about 417.1613566218.

The spelling of 72595920 in words is "seventy-two million, five hundred ninety-five thousand, nine hundred twenty".