74266416 has 160 divisors (see below), whose sum is σ = 249984000. Its totient is φ = 20666880.

The previous prime is 74266397. The next prime is 74266429. The reversal of 74266416 is 61466247.

74266416 is a `hidden beast` number, since 7 + 4 + 2 + 6 + 641 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 123685 + ... + 124283.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^74266416 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 74266416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

74266416 is an abundant number, since it is smaller than the sum of its proper divisors (175717584).

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

74266416 is a wasteful number, since it uses less digits than its factorization.

74266416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 74266416 is about 8617.7964700961. The cubic root of 74266416 is about 420.3368725870.

The spelling of 74266416 in words is "seventy-four million, two hundred sixty-six thousand, four hundred sixteen".