74876160 has 288 divisors, whose sum is σ = 268434432. Its totient is φ = 17694720.

The previous prime is 74876149. The next prime is 74876171. The reversal of 74876160 is 6167847.

It is an interprime number because it is at equal distance from previous prime (74876149) and next prime (74876171).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2023662 + ... + 2023698.

It is an arithmetic number, because the mean of its divisors is an integer number (932064).

Almost surely, 2^74876160 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 74876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134217216).

74876160 is an abundant number, since it is smaller than the sum of its proper divisors (193558272).

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

74876160 is a wasteful number, since it uses less digits than its factorization.

74876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 74876160 is about 8653.1011781904. The cubic root of 74876160 is about 421.4840921092.

The spelling of 74876160 in words is "seventy-four million, eight hundred seventy-six thousand, one hundred sixty".