72102900 has 72 divisors (see below), whose sum is σ = 215375104. Its totient is φ = 18604800.

The previous prime is 72102893. The next prime is 72102911. The reversal of 72102900 is 920127.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 5424 + ... + 13176.

Almost surely, 2^72102900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72102900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107687552).

72102900 is an abundant number, since it is smaller than the sum of its proper divisors (143272204).

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

72102900 is a wasteful number, since it uses less digits than its factorization.

72102900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7801 (or 7794 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 72102900 is about 8491.3426500171. The cubic root of 72102900 is about 416.2148560360.

The spelling of 72102900 in words is "seventy-two million, one hundred two thousand, nine hundred".