72347683980 has 192 divisors, whose sum is σ = 240174950400. Its totient is φ = 16040954880.

The previous prime is 72347683927. The next prime is 72347684011. The reversal of 72347683980 is 8938674327.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72347683980.

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, 896541 + ... + 973899.

It is an arithmetic number, because the mean of its divisors is an integer number (1250911200).

Almost surely, 2^72347683980 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 72347683980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120087475200).

72347683980 is an abundant number, since it is smaller than the sum of its proper divisors (167827266420).

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

72347683980 is a wasteful number, since it uses less digits than its factorization.

72347683980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77504 (or 77502 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 72347683980 in words is "seventy-two billion, three hundred forty-seven million, six hundred eighty-three thousand, nine hundred eighty".