72672664064 has 640 divisors, whose sum is σ = 217786060800. Its totient is φ = 23250862080.

The previous prime is 72672664039. The next prime is 72672664067. The reversal of 72672664064 is 46046627627.

It is a super-2 number, since 2×72672664064² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72672664067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165541157 + ... + 165541595.

It is an arithmetic number, because the mean of its divisors is an integer number (340290720).

Almost surely, 2^72672664064 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 72672664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108893030400).

72672664064 is an abundant number, since it is smaller than the sum of its proper divisors (145113396736).

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

72672664064 is a wasteful number, since it uses less digits than its factorization.

72672664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 50.

The spelling of 72672664064 in words is "seventy-two billion, six hundred seventy-two million, six hundred sixty-four thousand, sixty-four".