72162080 has 24 divisors (see below), whose sum is σ = 170483292. Its totient is φ = 28864768.

The previous prime is 72162071. The next prime is 72162089. The reversal of 72162080 is 8026127.

It is an interprime number because it is at equal distance from previous prime (72162071) and next prime (72162089).

It can be written as a sum of positive squares in 2 ways, for example, as 70492816 + 1669264 = 8396^2 + 1292^2 .

It is not an unprimeable number, because it can be changed into a prime (72162089) 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, 225347 + ... + 225666.

Almost surely, 2^72162080 is an apocalyptic number.

It is an amenable number.

72162080 is an abundant number, since it is smaller than the sum of its proper divisors (98321212).

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

72162080 is a wasteful number, since it uses less digits than its factorization.

72162080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451028 (or 451020 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 72162080 is about 8494.8266609743. The cubic root of 72162080 is about 416.3286973160.

The spelling of 72162080 in words is "seventy-two million, one hundred sixty-two thousand, eighty".