72150968064 has 432 divisors, whose sum is σ = 244736704800. Its totient is φ = 18728091648.

The previous prime is 72150968059. The next prime is 72150968117. The reversal of 72150968064 is 46086905127.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18550632 + ... + 18554520.

It is an arithmetic number, because the mean of its divisors is an integer number (566520150).

Almost surely, 2^72150968064 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 72150968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122368352400).

72150968064 is an abundant number, since it is smaller than the sum of its proper divisors (172585736736).

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

72150968064 is a wasteful number, since it uses less digits than its factorization.

72150968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 72150968064 in words is "seventy-two billion, one hundred fifty million, nine hundred sixty-eight thousand, sixty-four".