72588204 has 144 divisors (see below), whose sum is σ = 210903840. Its totient is φ = 21565440.

The previous prime is 72588203. The next prime is 72588239. The reversal of 72588204 is 40288527.

It is a happy number.

72588204 is a `hidden beast` number, since 72 + 588 + 2 + 0 + 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 (72588203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748284 + ... + 748380.

It is an arithmetic number, because the mean of its divisors is an integer number (1464610).

Almost surely, 2^72588204 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 72588204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105451920).

72588204 is an abundant number, since it is smaller than the sum of its proper divisors (138315636).

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

72588204 is a wasteful number, since it uses less digits than its factorization.

72588204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72588204 is about 8519.8711257859. The cubic root of 72588204 is about 417.1465764933.

The spelling of 72588204 in words is "seventy-two million, five hundred eighty-eight thousand, two hundred four".