74701872 has 120 divisors (see below), whose sum is σ = 249500400. Its totient is φ = 21337344.

The previous prime is 74701843. The next prime is 74701873. The reversal of 74701872 is 27810747.

74701872 is a `hidden beast` number, since 7 + 470 + 187 + 2 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (74701873) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19404 + ... + 22932.

It is an arithmetic number, because the mean of its divisors is an integer number (2079170).

Almost surely, 2^74701872 is an apocalyptic number.

74701872 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 74701872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124750200).

74701872 is an abundant number, since it is smaller than the sum of its proper divisors (174798528).

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

74701872 is a wasteful number, since it uses less digits than its factorization.

74701872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 74701872 is about 8643.0244706353. The cubic root of 74701872 is about 421.1568108572.

The spelling of 74701872 in words is "seventy-four million, seven hundred one thousand, eight hundred seventy-two".