74382432 has 96 divisors (see below), whose sum is σ = 205615872. Its totient is φ = 23514624.

The previous prime is 74382431. The next prime is 74382433. The reversal of 74382432 is 23428347.

It is an interprime number because it is at equal distance from previous prime (74382431) and next prime (74382433).

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

It is a junction number, because it is equal to n+sod(n) for n = 74382393 and 74382402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74382431) 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, 152493 + ... + 152979.

It is an arithmetic number, because the mean of its divisors is an integer number (2141832).

Almost surely, 2^74382432 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 74382432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102807936).

74382432 is an abundant number, since it is smaller than the sum of its proper divisors (131233440).

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

74382432 is a wasteful number, since it uses less digits than its factorization.

74382432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 74382432 is about 8624.5250304002. The cubic root of 74382432 is about 420.5556364820. Note that the first 3 decimals are identical.

It can be divided in two parts, 7438 and 2432, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 74382432 in words is "seventy-four million, three hundred eighty-two thousand, four hundred thirty-two".