72294571008 has 880 divisors, whose sum is σ = 256801881600. Its totient is φ = 20012728320.

The previous prime is 72294571007. The next prime is 72294571043. The reversal of 72294571008 is 80017549227.

It is a happy number.

72294571008 is a `hidden beast` number, since 72 + 2 + 9 + 4 + 571 + 0 + 0 + 8 = 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 (72294571003) 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, 915121113 + ... + 915121191.

It is an arithmetic number, because the mean of its divisors is an integer number (291820320).

Almost surely, 2^72294571008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72294571008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128400940800).

72294571008 is an abundant number, since it is smaller than the sum of its proper divisors (184507310592).

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

72294571008 is a wasteful number, since it uses less digits than its factorization.

72294571008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 72294571008 in words is "seventy-two billion, two hundred ninety-four million, five hundred seventy-one thousand, eight".