72290297232 has 160 divisors (see below), whose sum is σ = 214379136000. Its totient is φ = 23299246080.

The previous prime is 72290297227. The next prime is 72290297249. The reversal of 72290297232 is 23279209227.

72290297232 is a `hidden beast` number, since 72 + 290 + 297 + 2 + 3 + 2 = 666.

It is a super-3 number, since 3×72290297232³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27706744 + ... + 27709352.

It is an arithmetic number, because the mean of its divisors is an integer number (1339869600).

Almost surely, 2^72290297232 is an apocalyptic number.

72290297232 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 72290297232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107189568000).

72290297232 is an abundant number, since it is smaller than the sum of its proper divisors (142088838768).

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

72290297232 is a wasteful number, since it uses less digits than its factorization.

72290297232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 72290297232 in words is "seventy-two billion, two hundred ninety million, two hundred ninety-seven thousand, two hundred thirty-two".