72162240 has 56 divisors (see below), whose sum is σ = 229118160. Its totient is φ = 19243008.

The previous prime is 72162227. The next prime is 72162253. The reversal of 72162240 is 4226127.

It is an interprime number because it is at equal distance from previous prime (72162227) and next prime (72162253).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72162240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36625 + ... + 38544.

Almost surely, 2^72162240 is an apocalyptic number.

It is an amenable number.

72162240 is an abundant number, since it is smaller than the sum of its proper divisors (156955920).

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

72162240 is a wasteful number, since it uses less digits than its factorization.

72162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75189 (or 75179 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72162240 is about 8494.8360784656. The cubic root of 72162240 is about 416.3290050148.

Adding to 72162240 its reverse (4226127), we get a palindrome (76388367).

The spelling of 72162240 in words is "seventy-two million, one hundred sixty-two thousand, two hundred forty".