72838820 has 24 divisors (see below), whose sum is σ = 153472704. Its totient is φ = 29038176.

The previous prime is 72838817. The next prime is 72838841. The reversal of 72838820 is 2883827.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209 + ... + 12071.

It is an arithmetic number, because the mean of its divisors is an integer number (6394696).

Almost surely, 2^72838820 is an apocalyptic number.

It is an amenable number.

72838820 is an abundant number, since it is smaller than the sum of its proper divisors (80633884).

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

72838820 is a wasteful number, since it uses less digits than its factorization.

72838820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12179 (or 12177 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 72838820 is about 8534.5661869834. The cubic root of 72838820 is about 417.6261012468.

The spelling of 72838820 in words is "seventy-two million, eight hundred thirty-eight thousand, eight hundred twenty".