72916100 has 36 divisors (see below), whose sum is σ = 160604304. Its totient is φ = 28728480.

The previous prime is 72916099. The next prime is 72916117. The reversal of 72916100 is 161927.

It is a self number, because there is not a number n which added to its sum of digits gives 72916100.

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, 1259 + ... + 12141.

Almost surely, 2^72916100 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 72916100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80302152).

72916100 is an abundant number, since it is smaller than the sum of its proper divisors (87688204).

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

72916100 is a wasteful number, since it uses less digits than its factorization.

72916100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10964 (or 10957 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 72916100 is about 8539.0924576327. The cubic root of 72916100 is about 417.7737456752.

The spelling of 72916100 in words is "seventy-two million, nine hundred sixteen thousand, one hundred".