74952000 has 224 divisors, whose sum is σ = 275783040. Its totient is φ = 19929600.

The previous prime is 74951983. The next prime is 74952011. The reversal of 74952000 is 25947.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 215827 + ... + 216173.

Almost surely, 2^74952000 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 74952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137891520).

74952000 is an abundant number, since it is smaller than the sum of its proper divisors (200831040).

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

74952000 is a wasteful number, since it uses less digits than its factorization.

74952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 74952000 is about 8657.4823130053. The cubic root of 74952000 is about 421.6263473003.

Adding to 74952000 its reverse (25947), we get a palindrome (74977947).

The spelling of 74952000 in words is "seventy-four million, nine hundred fifty-two thousand".