74157120 has 140 divisors (see below), whose sum is σ = 263882124. Its totient is φ = 19768320.

The previous prime is 74157119. The next prime is 74157131. The reversal of 74157120 is 2175147.

74157120 is a `hidden beast` number, since 74 + 1 + 571 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34012224 + 40144896 = 5832^2 + 6336^2 .

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24490 + ... + 27350.

Almost surely, 2^74157120 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 74157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131941062).

74157120 is an abundant number, since it is smaller than the sum of its proper divisors (189725004).

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

74157120 is a wasteful number, since it uses less digits than its factorization.

74157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 74157120 is about 8611.4528390975. The cubic root of 74157120 is about 420.1305716479.

It can be divided in two parts, 7415 and 7120, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 74157120 in words is "seventy-four million, one hundred fifty-seven thousand, one hundred twenty".