74953872 has 240 divisors, whose sum is σ = 259054848. Its totient is φ = 19768320.

The previous prime is 74953847. The next prime is 74953883. The reversal of 74953872 is 27835947.

74953872 is a `hidden beast` number, since 7 + 49 + 538 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1228722 + ... + 1228782.

Almost surely, 2^74953872 is an apocalyptic number.

74953872 is a gapful number since it is divisible by the number (72) 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 74953872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129527424).

74953872 is an abundant number, since it is smaller than the sum of its proper divisors (184100976).

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

74953872 is a wasteful number, since it uses less digits than its factorization.

74953872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 74953872 is about 8657.5904269029. The cubic root of 74953872 is about 421.6298574488.

The spelling of 74953872 in words is "seventy-four million, nine hundred fifty-three thousand, eight hundred seventy-two".