72717600 has 144 divisors (see below), whose sum is σ = 242796960. Its totient is φ = 18892800.

The previous prime is 72717583. The next prime is 72717611. The reversal of 72717600 is 671727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 98031 + ... + 98769.

It is an arithmetic number, because the mean of its divisors is an integer number (1686090).

Almost surely, 2^72717600 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 72717600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121398480).

72717600 is an abundant number, since it is smaller than the sum of its proper divisors (170079360).

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

72717600 is a wasteful number, since it uses less digits than its factorization.

72717600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 72717600 is about 8527.4615214611. The cubic root of 72717600 is about 417.3942983632.

The spelling of 72717600 in words is "seventy-two million, seven hundred seventeen thousand, six hundred".