74345760 has 144 divisors (see below), whose sum is σ = 268717176. Its totient is φ = 18653184.

The previous prime is 74345749. The next prime is 74345771. The reversal of 74345760 is 6754347.

It is an interprime number because it is at equal distance from previous prime (74345749) and next prime (74345771).

It can be written as a sum of positive squares in 4 ways, for example, as 73205136 + 1140624 = 8556^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22962 + ... + 25998.

Almost surely, 2^74345760 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 74345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134358588).

74345760 is an abundant number, since it is smaller than the sum of its proper divisors (194371416).

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

74345760 is a wasteful number, since it uses less digits than its factorization.

74345760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3064 counting only the distinct ones).

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

The square root of 74345760 is about 8622.3987381703. The cubic root of 74345760 is about 420.4865110575.

The spelling of 74345760 in words is "seventy-four million, three hundred forty-five thousand, seven hundred sixty".