74129760 has 72 divisors (see below), whose sum is σ = 252972720. Its totient is φ = 19767552.

The previous prime is 74129753. The next prime is 74129761. The reversal of 74129760 is 6792147.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74129761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24300 + ... + 27179.

It is an arithmetic number, because the mean of its divisors is an integer number (3513510).

Almost surely, 2^74129760 is an apocalyptic number.

It is an amenable number.

74129760 is an abundant number, since it is smaller than the sum of its proper divisors (178842960).

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

74129760 is a wasteful number, since it uses less digits than its factorization.

74129760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51500 (or 51489 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 74129760 is about 8609.8641104259. The cubic root of 74129760 is about 420.0788967430.

The spelling of 74129760 in words is "seventy-four million, one hundred twenty-nine thousand, seven hundred sixty".