72283907520 has 784 divisors, whose sum is σ = 298272634848. Its totient is φ = 16482631680.

The previous prime is 72283907471. The next prime is 72283907539. The reversal of 72283907520 is 2570938227.

72283907520 is a `hidden beast` number, since 72 + 28 + 39 + 0 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 43622532 + ... + 43624188.

Almost surely, 2^72283907520 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 72283907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149136317424).

72283907520 is an abundant number, since it is smaller than the sum of its proper divisors (225988727328).

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

72283907520 is a wasteful number, since it uses less digits than its factorization.

72283907520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 72283907520 in words is "seventy-two billion, two hundred eighty-three million, nine hundred seven thousand, five hundred twenty".