72122760 has 48 divisors (see below), whose sum is σ = 234400140. Its totient is φ = 19232640.

The previous prime is 72122719. The next prime is 72122761. The reversal of 72122760 is 6722127.

It can be written as a sum of positive squares in 2 ways, for example, as 63584676 + 8538084 = 7974^2 + 2922^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72122761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99811 + ... + 100530.

Almost surely, 2^72122760 is an apocalyptic number.

It is an amenable number.

72122760 is an abundant number, since it is smaller than the sum of its proper divisors (162277380).

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

72122760 is a wasteful number, since it uses less digits than its factorization.

72122760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200358 (or 200351 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72122760 is about 8492.5119958702. The cubic root of 72122760 is about 416.2530665575.

Adding to 72122760 its reverse (6722127), we get a palindrome (78844887).

The spelling of 72122760 in words is "seventy-two million, one hundred twenty-two thousand, seven hundred sixty".