72635987200 has 432 divisors, whose sum is σ = 216248659200. Its totient is φ = 23616552960.

The previous prime is 72635987197. The next prime is 72635987213. The reversal of 72635987200 is 278953627.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161772576 + ... + 161773024.

It is an arithmetic number, because the mean of its divisors is an integer number (500575600).

Almost surely, 2^72635987200 is an apocalyptic number.

72635987200 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 72635987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108124329600).

72635987200 is an abundant number, since it is smaller than the sum of its proper divisors (143612672000).

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

72635987200 is a wasteful number, since it uses less digits than its factorization.

72635987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 72635987200 in words is "seventy-two billion, six hundred thirty-five million, nine hundred eighty-seven thousand, two hundred".