72249008832 has 1764 divisors, whose sum is σ = 312754508856. Its totient is φ = 16303472640.

The previous prime is 72249008813. The next prime is 72249008851. The reversal of 72249008832 is 23880094227.

It is an interprime number because it is at equal distance from previous prime (72249008813) and next prime (72249008851).

It is a tau number, because it is divible by the number of its divisors (1764).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 4249941688 + ... + 4249941704.

Almost surely, 2^72249008832 is an apocalyptic number.

72249008832 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 72249008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156377254428).

72249008832 is an abundant number, since it is smaller than the sum of its proper divisors (240505500024).

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

72249008832 is a wasteful number, since it uses less digits than its factorization.

72249008832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 72249008832 in words is "seventy-two billion, two hundred forty-nine million, eight thousand, eight hundred thirty-two".