74985120 has 288 divisors, whose sum is σ = 300972672. Its totient is φ = 16644096.

The previous prime is 74985109. The next prime is 74985139. The reversal of 74985120 is 2158947.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 433354 + ... + 433526.

It is an arithmetic number, because the mean of its divisors is an integer number (1045044).

Almost surely, 2^74985120 is an apocalyptic number.

74985120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150486336).

74985120 is an abundant number, since it is smaller than the sum of its proper divisors (225987552).

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

74985120 is a wasteful number, since it uses less digits than its factorization.

74985120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 74985120 is about 8659.3948980284. The cubic root of 74985120 is about 421.6884412994.

The spelling of 74985120 in words is "seventy-four million, nine hundred eighty-five thousand, one hundred twenty".