72149035392 has 640 divisors, whose sum is σ = 255884217600. Its totient is φ = 19752284160.

The previous prime is 72149035381. The next prime is 72149035393. The reversal of 72149035392 is 29353094127.

72149035392 is a `hidden beast` number, since 7 + 21 + 4 + 90 + 3 + 539 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72149035393) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 190366659 + ... + 190367037.

It is an arithmetic number, because the mean of its divisors is an integer number (399819090).

Almost surely, 2^72149035392 is an apocalyptic number.

72149035392 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 72149035392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127942108800).

72149035392 is an abundant number, since it is smaller than the sum of its proper divisors (183735182208).

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

72149035392 is a wasteful number, since it uses less digits than its factorization.

72149035392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 72149035392 in words is "seventy-two billion, one hundred forty-nine million, thirty-five thousand, three hundred ninety-two".