74272968 has 96 divisors (see below), whose sum is σ = 250810560. Its totient is φ = 19290240.

The previous prime is 74272967. The next prime is 74272987. The reversal of 74272968 is 86927247.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (74272963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1155 + ... + 12242.

It is an arithmetic number, because the mean of its divisors is an integer number (2612610).

Almost surely, 2^74272968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74272968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125405280).

74272968 is an abundant number, since it is smaller than the sum of its proper divisors (176537592).

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

74272968 is a wasteful number, since it uses less digits than its factorization.

74272968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13427 (or 13420 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 74272968 is about 8618.1766052919. The cubic root of 74272968 is about 420.3492333387.

The spelling of 74272968 in words is "seventy-four million, two hundred seventy-two thousand, nine hundred sixty-eight".