72802101680 has 160 divisors (see below), whose sum is σ = 215014238208. Its totient is φ = 22263321600.

The previous prime is 72802101679. The next prime is 72802101703. The reversal of 72802101680 is 8610120827.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 72802101680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214985 + ... + 437975.

Almost surely, 2^72802101680 is an apocalyptic number.

72802101680 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 72802101680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107507119104).

72802101680 is an abundant number, since it is smaller than the sum of its proper divisors (142212136528).

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

72802101680 is a wasteful number, since it uses less digits than its factorization.

72802101680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223075 (or 223069 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 72802101680 in words is "seventy-two billion, eight hundred two million, one hundred one thousand, six hundred eighty".