74938752 has 96 divisors (see below), whose sum is σ = 246476880. Its totient is φ = 21408768.

The previous prime is 74938739. The next prime is 74938753. The reversal of 74938752 is 25783947.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 74938698 and 74938707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74938753) 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 11 ways as a sum of consecutive naturals, for example, 3418 + ... + 12710.

Almost surely, 2^74938752 is an apocalyptic number.

74938752 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 74938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123238440).

74938752 is an abundant number, since it is smaller than the sum of its proper divisors (171538128).

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

74938752 is a wasteful number, since it uses less digits than its factorization.

74938752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9320 (or 9305 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 74938752 is about 8656.7171606793. The cubic root of 74938752 is about 421.6015045788.

The spelling of 74938752 in words is "seventy-four million, nine hundred thirty-eight thousand, seven hundred fifty-two".