74374560 has 288 divisors, whose sum is σ = 284815440. Its totient is φ = 17547264.

The previous prime is 74374537. The next prime is 74374579. The reversal of 74374560 is 6547347.

It can be written as a sum of positive squares in 8 ways, for example, as 22014864 + 52359696 = 4692^2 + 7236^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 542812 + ... + 542948.

Almost surely, 2^74374560 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 74374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142407720).

74374560 is an abundant number, since it is smaller than the sum of its proper divisors (210440880).

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

74374560 is a wasteful number, since it uses less digits than its factorization.

74374560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 74374560 is about 8624.0686453669. The cubic root of 74374560 is about 420.5407999555.

The spelling of 74374560 in words is "seventy-four million, three hundred seventy-four thousand, five hundred sixty".