72189711 has 48 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 43182720.

The previous prime is 72189707. The next prime is 72189811. The reversal of 72189711 is 11798127.

It is not a de Polignac number, because 72189711 - 2² = 72189707 is a prime.

It is a super-2 number, since 2×72189711² = 10422708748527042, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72189811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301930 + ... + 302168.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^72189711 is an apocalyptic number.

72189711 is a deficient number, since it is larger than the sum of its proper divisors (47318769).

72189711 is a wasteful number, since it uses less digits than its factorization.

72189711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 72189711 is about 8496.4528481008. The cubic root of 72189711 is about 416.3818282231.

It can be divided in two parts, 72189 and 711, that added together give a square (72900 = 270²).

The spelling of 72189711 in words is "seventy-two million, one hundred eighty-nine thousand, seven hundred eleven".