72140115456 has 160 divisors (see below), whose sum is σ = 213913228320. Its totient is φ = 24004657152.

The previous prime is 72140115379. The next prime is 72140115461. The reversal of 72140115456 is 65451104127.

72140115456 is a `hidden beast` number, since 72 + 1 + 40 + 1 + 1 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72140115456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8469856 + ... + 8478368.

It is an arithmetic number, because the mean of its divisors is an integer number (1336957677).

Almost surely, 2^72140115456 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 72140115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106956614160).

72140115456 is an abundant number, since it is smaller than the sum of its proper divisors (141773112864).

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

72140115456 is an equidigital number, since it uses as much as digits as its factorization.

72140115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 72140115456 in words is "seventy-two billion, one hundred forty million, one hundred fifteen thousand, four hundred fifty-six".