74575872 has 234 divisors, whose sum is σ = 261522248. Its totient is φ = 20054016.

The previous prime is 74575871. The next prime is 74575903. The reversal of 74575872 is 27857547.

74575872 is a `hidden beast` number, since 7 + 4 + 575 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74575871) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4386808 + ... + 4386824.

Almost surely, 2^74575872 is an apocalyptic number.

74575872 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 74575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130761124).

74575872 is an abundant number, since it is smaller than the sum of its proper divisors (186946376).

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

74575872 is a wasteful number, since it uses less digits than its factorization.

74575872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 74575872 is about 8635.7322793148. The cubic root of 74575872 is about 420.9198885412.

Multiplying 74575872 by its product of digits (548800), we get a square (40927238553600 = 6397440²).

The spelling of 74575872 in words is "seventy-four million, five hundred seventy-five thousand, eight hundred seventy-two".