74461248 has 112 divisors (see below), whose sum is σ = 224454720. Its totient is φ = 24192000.

The previous prime is 74461229. The next prime is 74461249. The reversal of 74461248 is 84216447.

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 (74461249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 70323 + ... + 71373.

It is an arithmetic number, because the mean of its divisors is an integer number (2004060).

Almost surely, 2^74461248 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 74461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112227360).

74461248 is an abundant number, since it is smaller than the sum of its proper divisors (149993472).

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

74461248 is a wasteful number, since it uses less digits than its factorization.

74461248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1097 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 74461248 is about 8629.0931157335. The cubic root of 74461248 is about 420.7041250056.

The spelling of 74461248 in words is "seventy-four million, four hundred sixty-one thousand, two hundred forty-eight".