74465920 has 64 divisors (see below), whose sum is σ = 179071200. Its totient is φ = 29611008.

The previous prime is 74465917. The next prime is 74465957. The reversal of 74465920 is 2956447.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 74465920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196291 + ... + 196669.

Almost surely, 2^74465920 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 74465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89535600).

74465920 is an abundant number, since it is smaller than the sum of its proper divisors (104605280).

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

74465920 is a wasteful number, since it uses less digits than its factorization.

74465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 74465920 is about 8629.3638235967. The cubic root of 74465920 is about 420.7129237146.

It can be divided in two parts, 7446 and 5920, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 74465920 in words is "seventy-four million, four hundred sixty-five thousand, nine hundred twenty".