75325032 has 64 divisors (see below), whose sum is σ = 210249600. Its totient is φ = 24986880.

The previous prime is 75325027. The next prime is 75325039. The reversal of 75325032 is 23052357.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 75324987 and 75325005.

It is not an unprimeable number, because it can be changed into a prime (75325039) 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, 51333 + ... + 52779.

It is an arithmetic number, because the mean of its divisors is an integer number (3285150).

Almost surely, 2^75325032 is an apocalyptic number.

75325032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75325032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105124800).

75325032 is an abundant number, since it is smaller than the sum of its proper divisors (134924568).

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

75325032 is a wasteful number, since it uses less digits than its factorization.

75325032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 75325032 is about 8678.9994815071. Note that the first 3 decimals coincide. The cubic root of 75325032 is about 422.3246605043.

Adding to 75325032 its reverse (23052357), we get a palindrome (98377389).

The spelling of 75325032 in words is "seventy-five million, three hundred twenty-five thousand, thirty-two".