74748960 has 384 divisors, whose sum is σ = 309899520. Its totient is φ = 16727040.

The previous prime is 74748937. The next prime is 74748997. The reversal of 74748960 is 6984747.

74748960 = 12³ + 13³ + ... + 131³.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5749914 + ... + 5749926.

It is an arithmetic number, because the mean of its divisors is an integer number (807030).

Almost surely, 2^74748960 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 74748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949760).

74748960 is an abundant number, since it is smaller than the sum of its proper divisors (235150560).

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

74748960 is a wasteful number, since it uses less digits than its factorization.

74748960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 74748960 is about 8645.7480879332. The cubic root of 74748960 is about 421.2452837248.

The spelling of 74748960 in words is "seventy-four million, seven hundred forty-eight thousand, nine hundred sixty".