72872493696 has 320 divisors, whose sum is σ = 221178513600. Its totient is φ = 23813222400.

The previous prime is 72872493689. The next prime is 72872493703. The reversal of 72872493696 is 69639427827.

72872493696 is a `hidden beast` number, since 7 + 2 + 87 + 2 + 493 + 69 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (72872493689) and next prime (72872493703).

Its product of digits (54867456) is a multiple of the sum of its prime divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139335291 + ... + 139335813.

It is an arithmetic number, because the mean of its divisors is an integer number (691182855).

Almost surely, 2^72872493696 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 72872493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110589256800).

72872493696 is an abundant number, since it is smaller than the sum of its proper divisors (148306019904).

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

72872493696 is a wasteful number, since it uses less digits than its factorization.

72872493696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 768 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 72872493696 in words is "seventy-two billion, eight hundred seventy-two million, four hundred ninety-three thousand, six hundred ninety-six".