74534400 has 180 divisors, whose sum is σ = 267150312. Its totient is φ = 19845120.

The previous prime is 74534399. The next prime is 74534401. The reversal of 74534400 is 443547.

It is an interprime number because it is at equal distance from previous prime (74534399) and next prime (74534401).

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74534401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114877 + ... + 115523.

Almost surely, 2^74534400 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 74534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133575156).

74534400 is an abundant number, since it is smaller than the sum of its proper divisors (192615912).

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

74534400 is a wasteful number, since it uses less digits than its factorization.

74534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 74534400 is about 8633.3307593304. The cubic root of 74534400 is about 420.8418488839.

Adding to 74534400 its reverse (443547), we get a palindrome (74977947).

The spelling of 74534400 in words is "seventy-four million, five hundred thirty-four thousand, four hundred".