72372204432 has 480 divisors, whose sum is σ = 252351348480. Its totient is φ = 19737907200.

The previous prime is 72372204431. The next prime is 72372204461. The reversal of 72372204432 is 23440227327.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72372204431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20436582 + ... + 20440122.

It is an arithmetic number, because the mean of its divisors is an integer number (525731976).

Almost surely, 2^72372204432 is an apocalyptic number.

72372204432 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 72372204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126175674240).

72372204432 is an abundant number, since it is smaller than the sum of its proper divisors (179979144048).

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

72372204432 is a wasteful number, since it uses less digits than its factorization.

72372204432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 72372204432 in words is "seventy-two billion, three hundred seventy-two million, two hundred four thousand, four hundred thirty-two".