72045328416 has 96 divisors (see below), whose sum is σ = 193258856448. Its totient is φ = 23490028800.

The previous prime is 72045328393. The next prime is 72045328423. The reversal of 72045328416 is 61482354027.

It is a tau number, because it is divible by the number of its divisors (96).

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, 9665491 + ... + 9672941.

It is an arithmetic number, because the mean of its divisors is an integer number (2013113088).

Almost surely, 2^72045328416 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 72045328416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96629428224).

72045328416 is an abundant number, since it is smaller than the sum of its proper divisors (121213528032).

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

72045328416 is a wasteful number, since it uses less digits than its factorization.

72045328416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9654 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 72045328416 in words is "seventy-two billion, forty-five million, three hundred twenty-eight thousand, four hundred sixteen".