75082752 has 66 divisors (see below), whose sum is σ = 216826428. Its totient is φ = 25024512.

The previous prime is 75082723. The next prime is 75082757. The reversal of 75082752 is 25728057.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75082757) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5143 + ... + 13289.

Almost surely, 2^75082752 is an apocalyptic number.

75082752 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 75082752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108413214).

75082752 is an abundant number, since it is smaller than the sum of its proper divisors (141743676).

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

75082752 is a wasteful number, since it uses less digits than its factorization.

75082752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8173 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 75082752 is about 8665.0304096408. The cubic root of 75082752 is about 421.8713772858.

The spelling of 75082752 in words is "seventy-five million, eighty-two thousand, seven hundred fifty-two".