74428560 has 120 divisors (see below), whose sum is σ = 251858880. Its totient is φ = 19696896.

The previous prime is 74428547. The next prime is 74428561. The reversal of 74428560 is 6582447.

74428560 is a `hidden beast` number, since 74 + 4 + 28 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×74428560² = 11079221087347200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (74428561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119931 + ... + 120549.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^74428560 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 74428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125929440).

74428560 is an abundant number, since it is smaller than the sum of its proper divisors (177430320).

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

74428560 is a wasteful number, since it uses less digits than its factorization.

74428560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 74428560 is about 8627.1988501483. The cubic root of 74428560 is about 420.6425538768.

The spelling of 74428560 in words is "seventy-four million, four hundred twenty-eight thousand, five hundred sixty".