72251088000 has 1536 divisors, whose sum is σ = 319983955200. Its totient is φ = 14244249600.

The previous prime is 72251087999. The next prime is 72251088001. The reversal of 72251088000 is 88015227.

It is an interprime number because it is at equal distance from previous prime (72251087999) and next prime (72251088001).

It is a super-3 number, since 3×72251088000³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72251088001) 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, 519791931 + ... + 519792069.

Almost surely, 2^72251088000 is an apocalyptic number.

72251088000 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 72251088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159991977600).

72251088000 is an abundant number, since it is smaller than the sum of its proper divisors (247732867200).

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

72251088000 is a wasteful number, since it uses less digits than its factorization.

72251088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 72251088000 in words is "seventy-two billion, two hundred fifty-one million, eighty-eight thousand".