75076 has 9 divisors (see below), whose sum is σ = 132349. Its totient is φ = 37264.

The previous prime is 75041. The next prime is 75079. The reversal of 75076 is 67057.

75076 = T₂₇₃ + T₂₇₄.

75076 = 44² + 45² + ... + 67².

The square root of 75076 is 274.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 30976 = 210^2 + 176^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75076.

It is not an unprimeable number, because it can be changed into a prime (75079) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 480 + ... + 616.

2⁷⁵⁰⁷⁶ is an apocalyptic number.

75076 is the 274-th square number.

It is an amenable number.

75076 is a deficient number, since it is larger than the sum of its proper divisors (57273).

75076 is a wasteful number, since it uses less digits than its factorization.

75076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The cubic root of 75076 is about 42.1858730968.

Multiplying 75076 by its sum of digits (25), we get a square (1876900 = 1370²).

The spelling of 75076 in words is "seventy-five thousand, seventy-six".