72947589120 has 784 divisors, whose sum is σ = 300831199200. Its totient is φ = 16625958912.

The previous prime is 72947589079. The next prime is 72947589251. The reversal of 72947589120 is 2198574927.

72947589120 is a `hidden beast` number, since 7 + 2 + 9 + 47 + 589 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 209018706 + ... + 209019054.

Almost surely, 2^72947589120 is an apocalyptic number.

72947589120 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 72947589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150415599600).

72947589120 is an abundant number, since it is smaller than the sum of its proper divisors (227883610080).

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

72947589120 is an frugal number, since it uses more digits than its factorization.

72947589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 72947589120 in words is "seventy-two billion, nine hundred forty-seven million, five hundred eighty-nine thousand, one hundred twenty".