74909952 has 216 divisors, whose sum is σ = 242177208. Its totient is φ = 22118400.

The previous prime is 74909921. The next prime is 74909957. The reversal of 74909952 is 25990947.

It can be written as a sum of positive squares in 4 ways, for example, as 10653696 + 64256256 = 3264^2 + 8016^2 .

It is a super-2 number, since 2×74909952² = 11223001817284608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74909898 and 74909907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74909957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1228002 + ... + 1228062.

Almost surely, 2^74909952 is an apocalyptic number.

74909952 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 74909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121088604).

74909952 is an abundant number, since it is smaller than the sum of its proper divisors (167267256).

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

74909952 is a wasteful number, since it uses less digits than its factorization.

74909952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 74909952 is about 8655.0535526939. The cubic root of 74909952 is about 421.5474885600.

The spelling of 74909952 in words is "seventy-four million, nine hundred nine thousand, nine hundred fifty-two".