72587715200 has 1536 divisors, whose sum is σ = 269262766080. Its totient is φ = 18579456000.

The previous prime is 72587715139. The next prime is 72587715203. The reversal of 72587715200 is 251778527.

It is a super-2 number, since 2×72587715200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (72587715203) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1688086379 + ... + 1688086421.

It is an arithmetic number, because the mean of its divisors is an integer number (175301280).

Almost surely, 2^72587715200 is an apocalyptic number.

72587715200 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 72587715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134631383040).

72587715200 is an abundant number, since it is smaller than the sum of its proper divisors (196675050880).

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

72587715200 is a wasteful number, since it uses less digits than its factorization.

72587715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 44.

It can be divided in two parts, 72587 and 715200, that added together give a palindrome (787787).

The spelling of 72587715200 in words is "seventy-two billion, five hundred eighty-seven million, seven hundred fifteen thousand, two hundred".