74753316 has 81 divisors (see below), whose sum is σ = 209297179. Its totient is φ = 22479600.

The previous prime is 74753311. The next prime is 74753321. The reversal of 74753316 is 61335747.

74753316 = 1³ + 2³ + ... + 131³.

The square root of 74753316 is 8646.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (74753311) and next prime (74753321).

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

It is a Duffinian number.

Its product of digits (52920) is a multiple of the sum of its prime divisors (147).

It is not an unprimeable number, because it can be changed into a prime (74753311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 570571 + ... + 570701.

Almost surely, 2^74753316 is an apocalyptic number.

74753316 is the 8646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74753316

74753316 is an abundant number, since it is smaller than the sum of its proper divisors (134543863).

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

74753316 is a wasteful number, since it uses less digits than its factorization.

74753316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 147 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The cubic root of 74753316 is about 421.2534662636.

Multiplying 74753316 by its sum of digits (36), we get a square (2691119376 = 51876²).

74753316 divided by its sum of digits (36) gives a square (2076481 = 1441²).

Subtracting from 74753316 its reverse (61335747), we obtain a square (13417569 = 3663²).

The spelling of 74753316 in words is "seventy-four million, seven hundred fifty-three thousand, three hundred sixteen".