75146760 has 96 divisors (see below), whose sum is σ = 263030040. Its totient is φ = 18496512.

The previous prime is 75146737. The next prime is 75146777. The reversal of 75146760 is 6764157.

It can be written as a sum of positive squares in 4 ways, for example, as 45400644 + 29746116 = 6738^2 + 5454^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3349 + ... + 12708.

Almost surely, 2^75146760 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 75146760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131515020).

75146760 is an abundant number, since it is smaller than the sum of its proper divisors (187883280).

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

75146760 is a wasteful number, since it uses less digits than its factorization.

75146760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16087 (or 16080 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 75146760 is about 8668.7230893598. The cubic root of 75146760 is about 421.9912249323.

The spelling of 75146760 in words is "seventy-five million, one hundred forty-six thousand, seven hundred sixty".