72566424 has 48 divisors (see below), whose sum is σ = 224611920. Its totient is φ = 20733120.

The previous prime is 72566411. The next prime is 72566447. The reversal of 72566424 is 42466527.

72566424 is a `hidden beast` number, since 7 + 2 + 5 + 6 + 642 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 71487 + ... + 72494.

It is an arithmetic number, because the mean of its divisors is an integer number (4679415).

Almost surely, 2^72566424 is an apocalyptic number.

It is an amenable number.

72566424 is an abundant number, since it is smaller than the sum of its proper divisors (152045496).

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

72566424 is a wasteful number, since it uses less digits than its factorization.

72566424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144000 (or 143993 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 72566424 is about 8518.5928415437. The cubic root of 72566424 is about 417.1048508833.

The spelling of 72566424 in words is "seventy-two million, five hundred sixty-six thousand, four hundred twenty-four".