72738900 has 108 divisors (see below), whose sum is σ = 245573692. Its totient is φ = 17902080.

The previous prime is 72738889. The next prime is 72738907. The reversal of 72738900 is 983727.

It can be written as a sum of positive squares in 6 ways, for example, as 3283344 + 69455556 = 1812^2 + 8334^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72738907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8592 + ... + 14808.

Almost surely, 2^72738900 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 72738900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122786846).

72738900 is an abundant number, since it is smaller than the sum of its proper divisors (172834792).

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

72738900 is a wasteful number, since it uses less digits than its factorization.

72738900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72738900 is about 8528.7103362701. The cubic root of 72738900 is about 417.4350479233.

The spelling of 72738900 in words is "seventy-two million, seven hundred thirty-eight thousand, nine hundred".