72321120 has 96 divisors (see below), whose sum is σ = 253139040. Its totient is φ = 19284480.

The previous prime is 72321091. The next prime is 72321121. The reversal of 72321120 is 2112327.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 72321093 and 72321102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72321121) 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, 4051 + ... + 12690.

It is an arithmetic number, because the mean of its divisors is an integer number (2636865).

Almost surely, 2^72321120 is an apocalyptic number.

It is an amenable number.

72321120 is an abundant number, since it is smaller than the sum of its proper divisors (180817920).

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

72321120 is a wasteful number, since it uses less digits than its factorization.

72321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16765 (or 16751 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72321120 is about 8504.1825003936. The cubic root of 72321120 is about 416.6343256676.

Adding to 72321120 its reverse (2112327), we get a palindrome (74433447).

The spelling of 72321120 in words is "seventy-two million, three hundred twenty-one thousand, one hundred twenty".