72332100 has 54 divisors (see below), whose sum is σ = 226723770. Its totient is φ = 19288320.

The previous prime is 72332087. The next prime is 72332111. The reversal of 72332100 is 123327.

It can be written as a sum of positive squares in 3 ways, for example, as 3873024 + 68459076 = 1968^2 + 8274^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 39285 + ... + 41084.

Almost surely, 2^72332100 is an apocalyptic number.

It is an amenable number.

72332100 is an abundant number, since it is smaller than the sum of its proper divisors (154391670).

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

72332100 is a wasteful number, since it uses less digits than its factorization.

72332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80389 (or 80379 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 72332100 is about 8504.8280405897. The cubic root of 72332100 is about 416.6554094736.

Adding to 72332100 its reverse (123327), we get a palindrome (72455427).

It can be divided in two parts, 723 and 32100, that added together give a palindrome (32823).

The spelling of 72332100 in words is "seventy-two million, three hundred thirty-two thousand, one hundred".