72240120 has 64 divisors (see below), whose sum is σ = 240804000. Its totient is φ = 19263744.

The previous prime is 72240101. The next prime is 72240121. The reversal of 72240120 is 2104227.

It is a super-2 number, since 2×72240120² = 10437269875228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 72240093 and 72240102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72240121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32365 + ... + 34524.

Almost surely, 2^72240120 is an apocalyptic number.

It is an amenable number.

72240120 is an abundant number, since it is smaller than the sum of its proper divisors (168563880).

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

72240120 is a wasteful number, since it uses less digits than its factorization.

72240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66909 (or 66899 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 72240120 is about 8499.4188036595. The cubic root of 72240120 is about 416.4787234161.

Adding to 72240120 its reverse (2104227), we get a palindrome (74344347).

The spelling of 72240120 in words is "seventy-two million, two hundred forty thousand, one hundred twenty".