72804820 has 96 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 25334400.

The previous prime is 72804803. The next prime is 72804839. The reversal of 72804820 is 2840827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921541 + ... + 921619.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^72804820 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 72804820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

72804820 is an abundant number, since it is smaller than the sum of its proper divisors (101377580).

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

72804820 is a wasteful number, since it uses less digits than its factorization.

72804820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 72804820 is about 8532.5740547621. The cubic root of 72804820 is about 417.5611107314.

It can be divided in two parts, 7280 and 4820, that added together give a square (12100 = 110²).

The spelling of 72804820 in words is "seventy-two million, eight hundred four thousand, eight hundred twenty".