74999952 has 80 divisors (see below), whose sum is σ = 217000000. Its totient is φ = 24800256.

The previous prime is 74999933. The next prime is 74999959. The reversal of 74999952 is 25999947.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (74999959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59424 + ... + 60672.

It is an arithmetic number, because the mean of its divisors is an integer number (2712500).

Almost surely, 2^74999952 is an apocalyptic number.

74999952 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 74999952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108500000).

74999952 is an abundant number, since it is smaller than the sum of its proper divisors (142000048).

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

74999952 is a wasteful number, since it uses less digits than its factorization.

74999952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1393 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The square root of 74999952 is about 8660.2512665627. The cubic root of 74999952 is about 421.7162426847.

The spelling of 74999952 in words is "seventy-four million, nine hundred ninety-nine thousand, nine hundred fifty-two".