74176272 has 60 divisors (see below), whose sum is σ = 208297804. Its totient is φ = 24641280.

The previous prime is 74176259. The next prime is 74176301. The reversal of 74176272 is 27267147.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37015056 + 37161216 = 6084^2 + 6096^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 53022 + ... + 54402.

Almost surely, 2^74176272 is an apocalyptic number.

74176272 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 74176272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104148902).

74176272 is an abundant number, since it is smaller than the sum of its proper divisors (134121532).

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

74176272 is a wasteful number, since it uses less digits than its factorization.

74176272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1759 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 74176272 is about 8612.5647747927. The cubic root of 74176272 is about 420.1667365193.

It can be divided in two parts, 741762 and 72, that multiplied together give a square (53406864 = 7308²).

The spelling of 74176272 in words is "seventy-four million, one hundred seventy-six thousand, two hundred seventy-two".