74040096 has 96 divisors (see below), whose sum is σ = 214558848. Its totient is φ = 22210560.

The previous prime is 74040077. The next prime is 74040097. The reversal of 74040096 is 69004047.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (74040097) 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, 50445 + ... + 51891.

It is an arithmetic number, because the mean of its divisors is an integer number (2234988).

Almost surely, 2^74040096 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 74040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107279424).

74040096 is an abundant number, since it is smaller than the sum of its proper divisors (140518752).

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

74040096 is a wasteful number, since it uses less digits than its factorization.

74040096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 74040096 is about 8604.6554840970. The cubic root of 74040096 is about 419.9094589412.

The spelling of 74040096 in words is "seventy-four million, forty thousand, ninety-six".