74126016 has 140 divisors (see below), whose sum is σ = 223743520. Its totient is φ = 24261120.

The previous prime is 74125999. The next prime is 74126027. The reversal of 74126016 is 61062147.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 409446 + ... + 409626.

It is an arithmetic number, because the mean of its divisors is an integer number (1598168).

Almost surely, 2^74126016 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 74126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111871760).

74126016 is an abundant number, since it is smaller than the sum of its proper divisors (149617504).

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

74126016 is a wasteful number, since it uses less digits than its factorization.

74126016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 265 counting only the distinct ones).

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

The square root of 74126016 is about 8609.6466826462. The cubic root of 74126016 is about 420.0718244513.

The spelling of 74126016 in words is "seventy-four million, one hundred twenty-six thousand, sixteen".