72734481600 has 672 divisors, whose sum is σ = 276213368832. Its totient is φ = 16588800000.

The previous prime is 72734481587. The next prime is 72734481653. The reversal of 72734481600 is 618443727.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60561000 + ... + 60562200.

Almost surely, 2^72734481600 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 72734481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138106684416).

72734481600 is an abundant number, since it is smaller than the sum of its proper divisors (203478887232).

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

72734481600 is a wasteful number, since it uses less digits than its factorization.

72734481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 72734481600 in words is "seventy-two billion, seven hundred thirty-four million, four hundred eighty-one thousand, six hundred".