72157000380 has 192 divisors, whose sum is σ = 208616518656. Its totient is φ = 18627840000.

The previous prime is 72157000373. The next prime is 72157000387. The reversal of 72157000380 is 8300075127.

It is an interprime number because it is at equal distance from previous prime (72157000373) and next prime (72157000387).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72157000387) 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, 102934030 + ... + 102934730.

It is an arithmetic number, because the mean of its divisors is an integer number (1086544368).

Almost surely, 2^72157000380 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 72157000380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104308259328).

72157000380 is an abundant number, since it is smaller than the sum of its proper divisors (136459518276).

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

72157000380 is a wasteful number, since it uses less digits than its factorization.

72157000380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 72157000380 in words is "seventy-two billion, one hundred fifty-seven million, three hundred eighty", and thus it is an aban number.