5416560072 has 160 divisors (see below), whose sum is σ = 18915145920. Its totient is φ = 1406885760.

The previous prime is 5416560067. The next prime is 5416560089. The reversal of 5416560072 is 2700656145.

It is a happy number.

5416560072 is a `hidden beast` number, since 5 + 41 + 6 + 5 + 600 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4383 + ... + 104174.

It is an arithmetic number, because the mean of its divisors is an integer number (118219662).

Almost surely, 2^5416560072 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 5416560072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9457572960).

5416560072 is an abundant number, since it is smaller than the sum of its proper divisors (13498585848).

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

5416560072 is a wasteful number, since it uses less digits than its factorization.

5416560072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108593 (or 108580 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5416560072 is about 73597.2830476778. The cubic root of 5416560072 is about 1756.2022181214.

The spelling of 5416560072 in words is "five billion, four hundred sixteen million, five hundred sixty thousand, seventy-two".