72175668 has 12 divisors (see below), whose sum is σ = 168409920. Its totient is φ = 24058552.

The previous prime is 72175667. The next prime is 72175669. The reversal of 72175668 is 86657127.

It is an interprime number because it is at equal distance from previous prime (72175667) and next prime (72175669).

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72175667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3007308 + ... + 3007331.

It is an arithmetic number, because the mean of its divisors is an integer number (14034160).

Almost surely, 2^72175668 is an apocalyptic number.

It is an amenable number.

72175668 is an abundant number, since it is smaller than the sum of its proper divisors (96234252).

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

72175668 is a wasteful number, since it uses less digits than its factorization.

72175668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6014646 (or 6014644 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 72175668 is about 8495.6264042153. The cubic root of 72175668 is about 416.3548270105.

The spelling of 72175668 in words is "seventy-two million, one hundred seventy-five thousand, six hundred sixty-eight".