72900100 has 72 divisors (see below), whose sum is σ = 194723648. Its totient is φ = 23068800.

The previous prime is 72900071. The next prime is 72900119. The reversal of 72900100 is 100927.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5095 + ... + 13105.

Almost surely, 2^72900100 is an apocalyptic number.

72900100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72900100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97361824).

72900100 is an abundant number, since it is smaller than the sum of its proper divisors (121823548).

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

72900100 is a wasteful number, since it uses less digits than its factorization.

72900100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8045 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 72900100 is about 8538.1555385224. The cubic root of 72900100 is about 417.7431860369.

The spelling of 72900100 in words is "seventy-two million, nine hundred thousand, one hundred".