74578560 has 256 divisors, whose sum is σ = 282009600. Its totient is φ = 16404480.

The previous prime is 74578513. The next prime is 74578577. The reversal of 74578560 is 6587547.

It is a super-2 number, since 2×74578560² = 11123923223347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416551 + ... + 416729.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 2^74578560 is an apocalyptic number.

74578560 is a gapful number since it is divisible by the number (70) 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 74578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141004800).

74578560 is an abundant number, since it is smaller than the sum of its proper divisors (207431040).

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

74578560 is a wasteful number, since it uses less digits than its factorization.

74578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 74578560 is about 8635.8879103425. The cubic root of 74578560 is about 420.9249456686.

The spelling of 74578560 in words is "seventy-four million, five hundred seventy-eight thousand, five hundred sixty".