74727360 has 252 divisors, whose sum is σ = 275426424. Its totient is φ = 19284480.

The previous prime is 74727349. The next prime is 74727371. The reversal of 74727360 is 6372747.

It is an interprime number because it is at equal distance from previous prime (74727349) and next prime (74727371).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2410545 + ... + 2410575.

It is an arithmetic number, because the mean of its divisors is an integer number (1092962).

Almost surely, 2^74727360 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 74727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137713212).

74727360 is an abundant number, since it is smaller than the sum of its proper divisors (200699064).

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

74727360 is an equidigital number, since it uses as much as digits as its factorization.

74727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 74727360 is about 8644.4988287350. The cubic root of 74727360 is about 421.2047044547.

The spelling of 74727360 in words is "seventy-four million, seven hundred twenty-seven thousand, three hundred sixty".