72148752000 has 1024 divisors, whose sum is σ = 296726976000. Its totient is φ = 17108582400.

The previous prime is 72148751993. The next prime is 72148752001. The reversal of 72148752000 is 25784127.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (72148752001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162863779 + ... + 162864221.

Almost surely, 2^72148752000 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 72148752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148363488000).

72148752000 is an abundant number, since it is smaller than the sum of its proper divisors (224578224000).

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

72148752000 is a wasteful number, since it uses less digits than its factorization.

72148752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 72148752000 in words is "seventy-two billion, one hundred forty-eight million, seven hundred fifty-two thousand".