72586663104 has 112 divisors (see below), whose sum is σ = 203446245888. Its totient is φ = 22761443328.

The previous prime is 72586663067. The next prime is 72586663141. The reversal of 72586663104 is 40136668527.

It is an interprime number because it is at equal distance from previous prime (72586663067) and next prime (72586663141).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9419317 + ... + 9427019.

Almost surely, 2^72586663104 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 72586663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101723122944).

72586663104 is an abundant number, since it is smaller than the sum of its proper divisors (130859582784).

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

72586663104 is a wasteful number, since it uses less digits than its factorization.

72586663104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10622 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 72586663104 in words is "seventy-two billion, five hundred eighty-six million, six hundred sixty-three thousand, one hundred four".