72500676360 has 384 divisors, whose sum is σ = 265279276800. Its totient is φ = 15775119360.

The previous prime is 72500676359. The next prime is 72500676361. The reversal of 72500676360 is 6367600527.

It is an interprime number because it is at equal distance from previous prime (72500676359) and next prime (72500676361).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (72500676361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30968790 + ... + 30971130.

It is an arithmetic number, because the mean of its divisors is an integer number (690831450).

Almost surely, 2^72500676360 is an apocalyptic number.

72500676360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72500676360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132639638400).

72500676360 is an abundant number, since it is smaller than the sum of its proper divisors (192778600440).

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

72500676360 is a wasteful number, since it uses less digits than its factorization.

72500676360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 72500676360 in words is "seventy-two billion, five hundred million, six hundred seventy-six thousand, three hundred sixty".