72827820 has 72 divisors (see below), whose sum is σ = 237911856. Its totient is φ = 17926272.

The previous prime is 72827789. The next prime is 72827837. The reversal of 72827820 is 2872827.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13222 + ... + 17901.

Almost surely, 2^72827820 is an apocalyptic number.

It is an amenable number.

72827820 is an abundant number, since it is smaller than the sum of its proper divisors (165084036).

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

72827820 is a wasteful number, since it uses less digits than its factorization.

72827820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31151 (or 31146 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 72827820 is about 8533.9217245063. The cubic root of 72827820 is about 417.6050771171.

The spelling of 72827820 in words is "seventy-two million, eight hundred twenty-seven thousand, eight hundred twenty".