74952720 has 120 divisors (see below), whose sum is σ = 265012800. Its totient is φ = 18931968.

The previous prime is 74952719. The next prime is 74952727. The reversal of 74952720 is 2725947.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (74952727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10941 + ... + 16419.

It is an arithmetic number, because the mean of its divisors is an integer number (2208440).

Almost surely, 2^74952720 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 74952720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132506400).

74952720 is an abundant number, since it is smaller than the sum of its proper divisors (190060080).

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

74952720 is a wasteful number, since it uses less digits than its factorization.

74952720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 74952720 is about 8657.5238954334. The cubic root of 74952720 is about 421.6276973643.

The spelling of 74952720 in words is "seventy-four million, nine hundred fifty-two thousand, seven hundred twenty".