72646545625088 has 208 divisors, whose sum is σ = 152885119320576. Its totient is φ = 34467106652160.

The previous prime is 72646545625081. The next prime is 72646545625117. The reversal of 72646545625088 is 88052654564627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72646545625081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19132614806 + ... + 19132618602.

Almost surely, 2^{72646545625088} 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 72646545625088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76442559660288).

72646545625088 is an abundant number, since it is smaller than the sum of its proper divisors (80238573695488).

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

72646545625088 is a wasteful number, since it uses less digits than its factorization.

72646545625088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 774144000, while the sum is 68.

The spelling of 72646545625088 in words is "seventy-two trillion, six hundred forty-six billion, five hundred forty-five million, six hundred twenty-five thousand, eighty-eight".