72403145136 has 320 divisors, whose sum is σ = 248655513600. Its totient is φ = 19722092544.

The previous prime is 72403145099. The next prime is 72403145153. The reversal of 72403145136 is 63154130427.

72403145136 is a `hidden beast` number, since 72 + 40 + 31 + 4 + 513 + 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 72403145136.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23437480 + ... + 23440568.

It is an arithmetic number, because the mean of its divisors is an integer number (777048480).

Almost surely, 2^72403145136 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 72403145136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124327756800).

72403145136 is an abundant number, since it is smaller than the sum of its proper divisors (176252368464).

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

72403145136 is a wasteful number, since it uses less digits than its factorization.

72403145136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 72403145136 in words is "seventy-two billion, four hundred three million, one hundred forty-five thousand, one hundred thirty-six".