72645552 has 80 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 20755008.

The previous prime is 72645509. The next prime is 72645589. The reversal of 72645552 is 25554627.

72645552 is a `hidden beast` number, since 7 + 2 + 645 + 5 + 5 + 2 = 666.

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 15 ways as a sum of consecutive naturals, for example, 8988 + ... + 15035.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2^72645552 is an apocalyptic number.

72645552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72645552 is an abundant number, since it is smaller than the sum of its proper divisors (165672528).

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

72645552 is a wasteful number, since it uses less digits than its factorization.

72645552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24047 (or 24035 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 72645552 is about 8523.2360051802. The cubic root of 72645552 is about 417.2564025318.

The spelling of 72645552 in words is "seventy-two million, six hundred forty-five thousand, five hundred fifty-two".