75400032 has 96 divisors (see below), whose sum is σ = 214244352. Its totient is φ = 23128064.

The previous prime is 75400019. The next prime is 75400033. The reversal of 75400032 is 23000457.

It is a happy number.

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 = 75399981 and 75400008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75400033) 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, 76213 + ... + 77195.

It is an arithmetic number, because the mean of its divisors is an integer number (2231712).

Almost surely, 2^75400032 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 75400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107122176).

75400032 is an abundant number, since it is smaller than the sum of its proper divisors (138844320).

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

75400032 is a wasteful number, since it uses less digits than its factorization.

75400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 75400032 is about 8683.3191810505. The cubic root of 75400032 is about 422.4647814440.

Adding to 75400032 its reverse (23000457), we get a palindrome (98400489).

The spelling of 75400032 in words is "seventy-five million, four hundred thousand, thirty-two".