72721120 has 24 divisors (see below), whose sum is σ = 171804024. Its totient is φ = 29088384.

The previous prime is 72721109. The next prime is 72721123. The reversal of 72721120 is 2112727.

It is a super-2 number, since 2×72721120² = 10576722588108800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72721091 and 72721100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72721123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 227094 + ... + 227413.

It is an arithmetic number, because the mean of its divisors is an integer number (7158501).

Almost surely, 2^72721120 is an apocalyptic number.

It is an amenable number.

72721120 is an abundant number, since it is smaller than the sum of its proper divisors (99082904).

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

72721120 is a wasteful number, since it uses less digits than its factorization.

72721120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454522 (or 454514 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 72721120 is about 8527.6679109825. The cubic root of 72721120 is about 417.4010331116.

Adding to 72721120 its reverse (2112727), we get a palindrome (74833847).

The spelling of 72721120 in words is "seventy-two million, seven hundred twenty-one thousand, one hundred twenty".