72731520000 has 1100 divisors, whose sum is σ = 287843997936. Its totient is φ = 18247680000.

The previous prime is 72731519983. The next prime is 72731520013. The reversal of 72731520000 is 2513727.

72731520000 is a `hidden beast` number, since 72 + 73 + 1 + 520 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1192319970 + ... + 1192320030.

Almost surely, 2^72731520000 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 72731520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143921998968).

72731520000 is an abundant number, since it is smaller than the sum of its proper divisors (215112477936).

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

72731520000 is an equidigital number, since it uses as much as digits as its factorization.

72731520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 72731520000 in words is "seventy-two billion, seven hundred thirty-one million, five hundred twenty thousand".