74971764 has 144 divisors (see below), whose sum is σ = 233909760. Its totient is φ = 20684160.

The previous prime is 74971759. The next prime is 74971769. The reversal of 74971764 is 46717947.

It is an interprime number because it is at equal distance from previous prime (74971759) and next prime (74971769).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74971769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163824 + ... + 164280.

Almost surely, 2^74971764 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 74971764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116954880).

74971764 is an abundant number, since it is smaller than the sum of its proper divisors (158937996).

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

74971764 is a wasteful number, since it uses less digits than its factorization.

74971764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 500 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 74971764 is about 8658.6236781604. The cubic root of 74971764 is about 421.6634034197.

It can be divided in two parts, 7497 and 1764, that added together give a cube (9261 = 21³).

The spelling of 74971764 in words is "seventy-four million, nine hundred seventy-one thousand, seven hundred sixty-four".