75741432 has 128 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 21888000.

The previous prime is 75741431. The next prime is 75741469. The reversal of 75741432 is 23414757.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75741393 and 75741402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75741431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396457 + ... + 396647.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 2^75741432 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 75741432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

75741432 is an abundant number, since it is smaller than the sum of its proper divisors (141018888).

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

75741432 is a wasteful number, since it uses less digits than its factorization.

75741432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 75741432 is about 8702.9553601061. The cubic root of 75741432 is about 423.1014404982.

The spelling of 75741432 in words is "seventy-five million, seven hundred forty-one thousand, four hundred thirty-two".