72991134720 has 1584 divisors, whose sum is σ = 329397344640. Its totient is φ = 15160836096.

The previous prime is 72991134649. The next prime is 72991134761. The reversal of 72991134720 is 2743119927.

72991134720 is a `hidden beast` number, since 7 + 299 + 11 + 347 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2516935666 + ... + 2516935694.

Almost surely, 2^72991134720 is an apocalyptic number.

72991134720 is a gapful number since it is divisible by the number (70) 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 72991134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164698672320).

72991134720 is an abundant number, since it is smaller than the sum of its proper divisors (256406209920).

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

72991134720 is a wasteful number, since it uses less digits than its factorization.

72991134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 72991134720 in words is "seventy-two billion, nine hundred ninety-one million, one hundred thirty-four thousand, seven hundred twenty".