72885700 has 72 divisors (see below), whose sum is σ = 167879880. Its totient is φ = 27417600.

The previous prime is 72885697. The next prime is 72885707. The reversal of 72885700 is 758827.

It can be written as a sum of positive squares in 12 ways, for example, as 61716736 + 11168964 = 7856^2 + 3342^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72885700.

It is not an unprimeable number, because it can be changed into a prime (72885707) 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, 118594 + ... + 119206.

It is an arithmetic number, because the mean of its divisors is an integer number (2331665).

Almost surely, 2^72885700 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 72885700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83939940).

72885700 is an abundant number, since it is smaller than the sum of its proper divisors (94994180).

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

72885700 is a wasteful number, since it uses less digits than its factorization.

72885700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 72885700 is about 8537.3122234108. The cubic root of 72885700 is about 417.7156785392.

The spelling of 72885700 in words is "seventy-two million, eight hundred eighty-five thousand, seven hundred".