74132160 has 224 divisors, whose sum is σ = 252813312. Its totient is φ = 18370560.

The previous prime is 74132131. The next prime is 74132161. The reversal of 74132160 is 6123147.

74132160 = 2866² + 2867² + ... + 2874².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 74132160.

It is not an unprimeable number, because it can be changed into a prime (74132161) 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 31 ways as a sum of consecutive naturals, for example, 1398694 + ... + 1398746.

Almost surely, 2^74132160 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 74132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126406656).

74132160 is an abundant number, since it is smaller than the sum of its proper divisors (178681152).

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

74132160 is a wasteful number, since it uses less digits than its factorization.

74132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 74132160 is about 8610.0034843199. The cubic root of 74132160 is about 420.0834301381.

The spelling of 74132160 in words is "seventy-four million, one hundred thirty-two thousand, one hundred sixty".