72593604 has 96 divisors (see below), whose sum is σ = 209865600. Its totient is φ = 21565440.

The previous prime is 72593603. The next prime is 72593617. The reversal of 72593604 is 40639527.

72593604 is a `hidden beast` number, since 7 + 2 + 593 + 60 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72593603) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33844 + ... + 35924.

It is an arithmetic number, because the mean of its divisors is an integer number (2186100).

Almost surely, 2^72593604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72593604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104932800).

72593604 is an abundant number, since it is smaller than the sum of its proper divisors (137271996).

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

72593604 is a wasteful number, since it uses less digits than its factorization.

72593604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72593604 is about 8520.1880260943. The cubic root of 72593604 is about 417.1569203946.

The spelling of 72593604 in words is "seventy-two million, five hundred ninety-three thousand, six hundred four".