72182417 has 4 divisors (see below), whose sum is σ = 72289716. Its totient is φ = 72075120.

The previous prime is 72182413. The next prime is 72182443. The reversal of 72182417 is 71428127.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 65674816 + 6507601 = 8104^2 + 2551^2 .

It is a cyclic number.

It is not a de Polignac number, because 72182417 - 2² = 72182413 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72182413) 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, 52634 + ... + 53987.

It is an arithmetic number, because the mean of its divisors is an integer number (18072429).

Almost surely, 2^72182417 is an apocalyptic number.

It is an amenable number.

72182417 is a deficient number, since it is larger than the sum of its proper divisors (107299).

72182417 is a wasteful number, since it uses less digits than its factorization.

72182417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107298.

The product of its digits is 6272, while the sum is 32.

The square root of 72182417 is about 8496.0235993081. The cubic root of 72182417 is about 416.3678041038.

It can be divided in two parts, 721 and 82417, that added together give a palindrome (83138).

The spelling of 72182417 in words is "seventy-two million, one hundred eighty-two thousand, four hundred seventeen".