74713968 has 160 divisors (see below), whose sum is σ = 253317120. Its totient is φ = 20632320.

The previous prime is 74713921. The next prime is 74713979. The reversal of 74713968 is 86931747.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 93346 + ... + 94142.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2^74713968 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 74713968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658560).

74713968 is an abundant number, since it is smaller than the sum of its proper divisors (178603152).

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

74713968 is a wasteful number, since it uses less digits than its factorization.

74713968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 840 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 74713968 is about 8643.7241973585. The cubic root of 74713968 is about 421.1795413801.

The spelling of 74713968 in words is "seventy-four million, seven hundred thirteen thousand, nine hundred sixty-eight".