75725600 has 72 divisors (see below), whose sum is σ = 186863040. Its totient is φ = 29963520.

The previous prime is 75725593. The next prime is 75725603. The reversal of 75725600 is 652757.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (75725603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81941 + ... + 82859.

It is an arithmetic number, because the mean of its divisors is an integer number (2595320).

Almost surely, 2^75725600 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 75725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93431520).

75725600 is an abundant number, since it is smaller than the sum of its proper divisors (111137440).

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

75725600 is a wasteful number, since it uses less digits than its factorization.

75725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 75725600 is about 8702.0457364921. The cubic root of 75725600 is about 423.0719585770.

The spelling of 75725600 in words is "seventy-five million, seven hundred twenty-five thousand, six hundred".