72109677276 has 192 divisors, whose sum is σ = 230549939200. Its totient is φ = 18980220672.

The previous prime is 72109677209. The next prime is 72109677307. The reversal of 72109677276 is 67277690127.

72109677276 is a `hidden beast` number, since 7 + 210 + 96 + 77 + 276 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5133030 + ... + 5147058.

Almost surely, 2^72109677276 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 72109677276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115274969600).

72109677276 is an abundant number, since it is smaller than the sum of its proper divisors (158440261924).

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

72109677276 is a wasteful number, since it uses less digits than its factorization.

72109677276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14585 (or 14577 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 72109677276 in words is "seventy-two billion, one hundred nine million, six hundred seventy-seven thousand, two hundred seventy-six".