72100332 has 36 divisors (see below), whose sum is σ = 192976056. Its totient is φ = 22619520.

The previous prime is 72100319. The next prime is 72100367. The reversal of 72100332 is 23300127.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58294 + ... + 59517.

It is an arithmetic number, because the mean of its divisors is an integer number (5360446).

Almost surely, 2^72100332 is an apocalyptic number.

It is an amenable number.

72100332 is an abundant number, since it is smaller than the sum of its proper divisors (120875724).

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

72100332 is a wasteful number, since it uses less digits than its factorization.

72100332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117838 (or 117833 counting only the distinct ones).

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

The square root of 72100332 is about 8491.1914358351. The cubic root of 72100332 is about 416.2099147071.

Adding to 72100332 its reverse (23300127), we get a palindrome (95400459).

The spelling of 72100332 in words is "seventy-two million, one hundred thousand, three hundred thirty-two".