74709120 has 128 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 19718144.

The previous prime is 74709113. The next prime is 74709127. The reversal of 74709120 is 2190747.

It is an interprime number because it is at equal distance from previous prime (74709113) and next prime (74709127).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×74709120² = 11162905222348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74709127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320524 + ... + 320756.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^74709120 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 74709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

74709120 is an abundant number, since it is smaller than the sum of its proper divisors (165880320).

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

74709120 is a wasteful number, since it uses less digits than its factorization.

74709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 74709120 is about 8643.4437581325. The cubic root of 74709120 is about 421.1704314255.

Adding to 74709120 its reverse (2190747), we get a palindrome (76899867).

The spelling of 74709120 in words is "seventy-four million, seven hundred nine thousand, one hundred twenty".