72271120 has 20 divisors (see below), whose sum is σ = 168030540. Its totient is φ = 28908416.

The previous prime is 72271099. The next prime is 72271139. The reversal of 72271120 is 2117227.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 32126224 = 6336^2 + 5668^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×72271120² = 10446229572108800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72271091 and 72271100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 451615 + ... + 451774.

It is an arithmetic number, because the mean of its divisors is an integer number (8401527).

Almost surely, 2^72271120 is an apocalyptic number.

It is an amenable number.

72271120 is an abundant number, since it is smaller than the sum of its proper divisors (95759420).

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

72271120 is a wasteful number, since it uses less digits than its factorization.

72271120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903402 (or 903396 counting only the distinct ones).

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

The square root of 72271120 is about 8501.2422621638. The cubic root of 72271120 is about 416.5382886276.

Adding to 72271120 its reverse (2117227), we get a palindrome (74388347).

The spelling of 72271120 in words is "seventy-two million, two hundred seventy-one thousand, one hundred twenty".