72189627 has 32 divisors (see below), whose sum is σ = 102581760. Its totient is φ = 45100800.

The previous prime is 72189587. The next prime is 72189629. The reversal of 72189627 is 72698127.

It is not a de Polignac number, because 72189627 - 2⁶ = 72189563 is a prime.

It is a super-2 number, since 2×72189627² = 10422684492798258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72189629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478002 + ... + 478152.

It is an arithmetic number, because the mean of its divisors is an integer number (3205680).

Almost surely, 2^72189627 is an apocalyptic number.

72189627 is a deficient number, since it is larger than the sum of its proper divisors (30392133).

72189627 is a wasteful number, since it uses less digits than its factorization.

72189627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323.

The product of its digits is 84672, while the sum is 42.

The square root of 72189627 is about 8496.4479048600. The cubic root of 72189627 is about 416.3816667223.

The spelling of 72189627 in words is "seventy-two million, one hundred eighty-nine thousand, six hundred twenty-seven".