72794657250 has 864 divisors, whose sum is σ = 253682357760. Its totient is φ = 14996016000.

The previous prime is 72794657239. The next prime is 72794657279. The reversal of 72794657250 is 5275649727.

It is a happy number.

72794657250 is a `hidden beast` number, since 7 + 27 + 9 + 46 + 572 + 5 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1233807721 + ... + 1233807779.

It is an arithmetic number, because the mean of its divisors is an integer number (293613840).

Almost surely, 2^72794657250 is an apocalyptic number.

72794657250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72794657250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126841178880).

72794657250 is an abundant number, since it is smaller than the sum of its proper divisors (180887700510).

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

72794657250 is a wasteful number, since it uses less digits than its factorization.

72794657250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 72794657250 in words is "seventy-two billion, seven hundred ninety-four million, six hundred fifty-seven thousand, two hundred fifty".