72161300 has 18 divisors (see below), whose sum is σ = 156590238. Its totient is φ = 28864480.

The previous prime is 72161269. The next prime is 72161317. The reversal of 72161300 is 316127.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 454276 + 71707024 = 674^2 + 8468^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 360707 + ... + 360906.

Almost surely, 2^72161300 is an apocalyptic number.

It is an amenable number.

72161300 is an abundant number, since it is smaller than the sum of its proper divisors (84428938).

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

72161300 is a wasteful number, since it uses less digits than its factorization.

72161300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721627 (or 721620 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 72161300 is about 8494.7807505550. The cubic root of 72161300 is about 416.3271972782.

Adding to 72161300 its reverse (316127), we get a palindrome (72477427).

The spelling of 72161300 in words is "seventy-two million, one hundred sixty-one thousand, three hundred".