72426804 has 48 divisors (see below), whose sum is σ = 177280320. Its totient is φ = 22982400.

The previous prime is 72426773. The next prime is 72426821. The reversal of 72426804 is 40862427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23979 + ... + 26829.

It is an arithmetic number, because the mean of its divisors is an integer number (3693340).

Almost surely, 2^72426804 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 72426804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88640160).

72426804 is an abundant number, since it is smaller than the sum of its proper divisors (104853516).

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

72426804 is a wasteful number, since it uses less digits than its factorization.

72426804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 72426804 is about 8510.3938804265. The cubic root of 72426804 is about 416.8371716756.

The spelling of 72426804 in words is "seventy-two million, four hundred twenty-six thousand, eight hundred four".