72606479616 has 432 divisors, whose sum is σ = 242438676480. Its totient is φ = 20666880000.

The previous prime is 72606479567. The next prime is 72606479639. The reversal of 72606479616 is 61697460627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63080641 + ... + 63081791.

It is an arithmetic number, because the mean of its divisors is an integer number (561200640).

Almost surely, 2^72606479616 is an apocalyptic number.

72606479616 is a gapful number since it is divisible by the number (76) 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 72606479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121219338240).

72606479616 is an abundant number, since it is smaller than the sum of its proper divisors (169832196864).

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

72606479616 is a wasteful number, since it uses less digits than its factorization.

72606479616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 72606479616 in words is "seventy-two billion, six hundred six million, four hundred seventy-nine thousand, six hundred sixteen".