76072 has 16 divisors (see below), whose sum is σ = 147060. Its totient is φ = 36864.

The previous prime is 76039. The next prime is 76079. The reversal of 76072 is 27067.

76072 = T₃ + T₄ + ... + T₇₆.

It can be written as a sum of positive squares in 2 ways, for example, as 54756 + 21316 = 234^2 + 146^2 .

It is not an unprimeable number, because it can be changed into a prime (76079) by changing a digit.

76072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168 + ... + 424.

2⁷⁶⁰⁷² is an apocalyptic number.

It is an amenable number.

76072 is a deficient number, since it is larger than the sum of its proper divisors (70988).

76072 is a wasteful number, since it uses less digits than its factorization.

76072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 76072 is about 275.8115298533. The cubic root of 76072 is about 42.3716079057.

The spelling of 76072 in words is "seventy-six thousand, seventy-two".