72678705120 has 216 divisors, whose sum is σ = 288508782744. Its totient is φ = 16612259328.

The previous prime is 72678705079. The next prime is 72678705157. The reversal of 72678705120 is 2150787627.

72678705120 is a `hidden beast` number, since 7 + 2 + 67 + 8 + 70 + 512 + 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 35 ways as a sum of consecutive naturals, for example, 444454 + ... + 585573.

It is an arithmetic number, because the mean of its divisors is an integer number (1335688809).

Almost surely, 2^72678705120 is an apocalyptic number.

72678705120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72678705120 is an abundant number, since it is smaller than the sum of its proper divisors (215830077624).

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

72678705120 is a wasteful number, since it uses less digits than its factorization.

72678705120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030062 (or 1030044 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 72678705120 in words is "seventy-two billion, six hundred seventy-eight million, seven hundred five thousand, one hundred twenty".