72903600 has 360 divisors, whose sum is σ = 316622592. Its totient is φ = 15091200.

The previous prime is 72903587. The next prime is 72903637. The reversal of 72903600 is 630927.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277069 + ... + 277331.

Almost surely, 2^72903600 is an apocalyptic number.

72903600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72903600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158311296).

72903600 is an abundant number, since it is smaller than the sum of its proper divisors (243718992).

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

72903600 is a wasteful number, since it uses less digits than its factorization.

72903600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72903600 is about 8538.3604983627. The cubic root of 72903600 is about 417.7498713399.

The spelling of 72903600 in words is "seventy-two million, nine hundred three thousand, six hundred".