72764612700100 has 432 divisors, whose sum is σ = 178246299506688. Its totient is φ = 25688733880320.

The previous prime is 72764612700079. The next prime is 72764612700107. The reversal of 72764612700100 is 100721646727.

72764612700100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×72764612700100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72764612700107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47777157939 + ... + 47777159461.

It is an arithmetic number, because the mean of its divisors is an integer number (412607174784).

Almost surely, 2^{72764612700100} 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 72764612700100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89123149753344).

72764612700100 is an abundant number, since it is smaller than the sum of its proper divisors (105481686806588).

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

72764612700100 is a wasteful number, since it uses less digits than its factorization.

72764612700100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 43.

The spelling of 72764612700100 in words is "seventy-two trillion, seven hundred sixty-four billion, six hundred twelve million, seven hundred thousand, one hundred".