72160416 has 96 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 23528448.

The previous prime is 72160409. The next prime is 72160457. The reversal of 72160416 is 61406127.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 72160416.

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, 39720 + ... + 41496.

It is an arithmetic number, because the mean of its divisors is an integer number (2240280).

Almost surely, 2^72160416 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 72160416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

72160416 is an abundant number, since it is smaller than the sum of its proper divisors (142906464).

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

72160416 is a wasteful number, since it uses less digits than its factorization.

72160416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72160416 is about 8494.7287184465. The cubic root of 72160416 is about 416.3254972222.

The spelling of 72160416 in words is "seventy-two million, one hundred sixty thousand, four hundred sixteen".