72826820 has 24 divisors (see below), whose sum is σ = 166840128. Its totient is φ = 26482400.

The previous prime is 72826811. The next prime is 72826837. The reversal of 72826820 is 2862827.

72826820 = 167² + 168² + ... + 606².

It is a super-2 number, since 2×72826820² = 10607491422624800, which contains 22 as substring.

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, 165296 + ... + 165735.

It is an arithmetic number, because the mean of its divisors is an integer number (6951672).

Almost surely, 2^72826820 is an apocalyptic number.

It is an amenable number.

72826820 is an abundant number, since it is smaller than the sum of its proper divisors (94013308).

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

72826820 is a wasteful number, since it uses less digits than its factorization.

72826820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331051 (or 331049 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 72826820 is about 8533.8631345950. The cubic root of 72826820 is about 417.6031657276.

The spelling of 72826820 in words is "seventy-two million, eight hundred twenty-six thousand, eight hundred twenty".