74965200 has 120 divisors (see below), whose sum is σ = 242172000. Its totient is φ = 19822080.

The previous prime is 74965199. The next prime is 74965213. The reversal of 74965200 is 256947.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×74965200² = 11239562422080000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 214626 + ... + 214974.

It is an arithmetic number, because the mean of its divisors is an integer number (2018100).

Almost surely, 2^74965200 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 74965200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121086000).

74965200 is an abundant number, since it is smaller than the sum of its proper divisors (167206800).

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

74965200 is a wasteful number, since it uses less digits than its factorization.

74965200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 74965200 is about 8658.2446257888. The cubic root of 74965200 is about 421.6510971006.

The spelling of 74965200 in words is "seventy-four million, nine hundred sixty-five thousand, two hundred".