74274816 has 192 divisors, whose sum is σ = 248451840. Its totient is φ = 19169280.

The previous prime is 74274779. The next prime is 74274817. The reversal of 74274816 is 61847247.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74274817) 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, 473010 + ... + 473166.

It is an arithmetic number, because the mean of its divisors is an integer number (1294020).

Almost surely, 2^74274816 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 74274816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124225920).

74274816 is an abundant number, since it is smaller than the sum of its proper divisors (174177024).

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

74274816 is a wasteful number, since it uses less digits than its factorization.

74274816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 74274816 is about 8618.2838198797. The cubic root of 74274816 is about 420.3527195732.

The spelling of 74274816 in words is "seventy-four million, two hundred seventy-four thousand, eight hundred sixteen".