75001332 has 48 divisors (see below), whose sum is σ = 201149312. Its totient is φ = 21306240.

The previous prime is 75001313. The next prime is 75001343. The reversal of 75001332 is 23310057.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 75001299 and 75001308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12738 + ... + 17670.

Almost surely, 2^75001332 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 75001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100574656).

75001332 is an abundant number, since it is smaller than the sum of its proper divisors (126147980).

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

75001332 is a wasteful number, since it uses less digits than its factorization.

75001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 75001332 is about 8660.3309405588. The cubic root of 75001332 is about 421.7188291968.

Adding to 75001332 its reverse (23310057), we get a palindrome (98311389).

The spelling of 75001332 in words is "seventy-five million, one thousand, three hundred thirty-two".