72551088432 has 120 divisors (see below), whose sum is σ = 205964595200. Its totient is φ = 23836685184.

The previous prime is 72551088371. The next prime is 72551088437. The reversal of 72551088432 is 23488015527.

72551088432 is a `hidden beast` number, since 7 + 25 + 510 + 8 + 84 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (72551088437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7036593 + ... + 7046895.

Almost surely, 2^72551088432 is an apocalyptic number.

72551088432 is a gapful number since it is divisible by the number (72) 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 72551088432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102982297600).

72551088432 is an abundant number, since it is smaller than the sum of its proper divisors (133413506768).

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

72551088432 is a wasteful number, since it uses less digits than its factorization.

72551088432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11015 (or 11006 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 72551088432 in words is "seventy-two billion, five hundred fifty-one million, eighty-eight thousand, four hundred thirty-two".