74131416 has 64 divisors (see below), whose sum is σ = 212582400. Its totient is φ = 23911200.

The previous prime is 74131399. The next prime is 74131417. The reversal of 74131416 is 61413147.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 74131416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74131417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1161 + ... + 12231.

It is an arithmetic number, because the mean of its divisors is an integer number (3321600).

Almost surely, 2^74131416 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 74131416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106291200).

74131416 is an abundant number, since it is smaller than the sum of its proper divisors (138450984).

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

74131416 is a wasteful number, since it uses less digits than its factorization.

74131416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11117 (or 11107 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 74131416 is about 8609.9602786540. The cubic root of 74131416 is about 420.0820247961.

It can be divided in two parts, 7413141 and 6, that added together give a palindrome (7413147).

The spelling of 74131416 in words is "seventy-four million, one hundred thirty-one thousand, four hundred sixteen".