72917700 has 72 divisors (see below), whose sum is σ = 213423840. Its totient is φ = 19219200.

The previous prime is 72917681. The next prime is 72917707. The reversal of 72917700 is 771927.

It is not an unprimeable number, because it can be changed into a prime (72917707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25335 + ... + 28065.

It is an arithmetic number, because the mean of its divisors is an integer number (2964220).

Almost surely, 2^72917700 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 72917700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106711920).

72917700 is an abundant number, since it is smaller than the sum of its proper divisors (140506140).

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

72917700 is a wasteful number, since it uses less digits than its factorization.

72917700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 72917700 is about 8539.1861438898. The cubic root of 72917700 is about 417.7768013931.

The spelling of 72917700 in words is "seventy-two million, nine hundred seventeen thousand, seven hundred".