72111120 has 40 divisors (see below), whose sum is σ = 223545216. Its totient is φ = 19229568.

The previous prime is 72111103. The next prime is 72111163. The reversal of 72111120 is 2111127.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 72111120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149992 + ... + 150471.

Almost surely, 2^72111120 is an apocalyptic number.

It is an amenable number.

72111120 is an abundant number, since it is smaller than the sum of its proper divisors (151434096).

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

72111120 is a wasteful number, since it uses less digits than its factorization.

72111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300479 (or 300473 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 72111120 is about 8491.8266586171. The cubic root of 72111120 is about 416.2306721179.

Adding to 72111120 its reverse (2111127), we get a palindrome (74222247).

The spelling of 72111120 in words is "seventy-two million, one hundred eleven thousand, one hundred twenty".