72682632 has 48 divisors (see below), whose sum is σ = 214746480. Its totient is φ = 22024800.

The previous prime is 72682609. The next prime is 72682637. The reversal of 72682632 is 23628627.

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

It is not an unprimeable number, because it can be changed into a prime (72682637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45094 + ... + 46677.

It is an arithmetic number, because the mean of its divisors is an integer number (4473885).

Almost surely, 2^72682632 is an apocalyptic number.

72682632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72682632 is an abundant number, since it is smaller than the sum of its proper divisors (142063848).

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

72682632 is a wasteful number, since it uses less digits than its factorization.

72682632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91794 (or 91787 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 72682632 is about 8525.4109578366. The cubic root of 72682632 is about 417.3273829536.

The spelling of 72682632 in words is "seventy-two million, six hundred eighty-two thousand, six hundred thirty-two".