72724193760 has 192 divisors, whose sum is σ = 235261635840. Its totient is φ = 18873200640.

The previous prime is 72724193683. The next prime is 72724193777. The reversal of 72724193760 is 6739142727.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5793571 + ... + 5806109.

It is an arithmetic number, because the mean of its divisors is an integer number (1225321020).

Almost surely, 2^72724193760 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 72724193760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117630817920).

72724193760 is an abundant number, since it is smaller than the sum of its proper divisors (162537442080).

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

72724193760 is a wasteful number, since it uses less digits than its factorization.

72724193760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12881 (or 12873 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 72724193760 in words is "seventy-two billion, seven hundred twenty-four million, one hundred ninety-three thousand, seven hundred sixty".