72182688 has 48 divisors (see below), whose sum is σ = 189917280. Its totient is φ = 24005376.

The previous prime is 72182687. The next prime is 72182689. The reversal of 72182688 is 88628127.

It is an interprime number because it is at equal distance from previous prime (72182687) and next prime (72182689).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (72182687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79131 + ... + 80037.

It is an arithmetic number, because the mean of its divisors is an integer number (3956610).

Almost surely, 2^72182688 is an apocalyptic number.

It is an amenable number.

72182688 is an abundant number, since it is smaller than the sum of its proper divisors (117734592).

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

72182688 is a wasteful number, since it uses less digits than its factorization.

72182688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1741 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 72182688 is about 8496.0395479306. The cubic root of 72182688 is about 416.3683251704.

The spelling of 72182688 in words is "seventy-two million, one hundred eighty-two thousand, six hundred eighty-eight".