72803700 has 108 divisors (see below), whose sum is σ = 233883468. Its totient is φ = 18931200.

The previous prime is 72803681. The next prime is 72803711. The reversal of 72803700 is 730827.

It can be written as a sum of positive squares in 6 ways, for example, as 21566736 + 51236964 = 4644^2 + 7158^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35914 + ... + 37886.

Almost surely, 2^72803700 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 72803700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116941734).

72803700 is an abundant number, since it is smaller than the sum of its proper divisors (161079768).

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

72803700 is a wasteful number, since it uses less digits than its factorization.

72803700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72803700 is about 8532.5084236700. The cubic root of 72803700 is about 417.5589695232.

The spelling of 72803700 in words is "seventy-two million, eight hundred three thousand, seven hundred".