72632814 has 16 divisors (see below), whose sum is σ = 149952000. Its totient is φ = 23429880.

The previous prime is 72632803. The next prime is 72632831. The reversal of 72632814 is 41823627.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 195064 + ... + 195435.

It is an arithmetic number, because the mean of its divisors is an integer number (9372000).

Almost surely, 2^72632814 is an apocalyptic number.

72632814 is an abundant number, since it is smaller than the sum of its proper divisors (77319186).

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

72632814 is a wasteful number, since it uses less digits than its factorization.

72632814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390535.

The product of its digits is 16128, while the sum is 33.

The square root of 72632814 is about 8522.4887210251. The cubic root of 72632814 is about 417.2320132307.

The spelling of 72632814 in words is "seventy-two million, six hundred thirty-two thousand, eight hundred fourteen".