72812187 has 36 divisors (see below), whose sum is σ = 125359416. Its totient is φ = 40582080.

The previous prime is 72812147. The next prime is 72812197. The reversal of 72812187 is 78121827.

It is a happy number.

It is not a de Polignac number, because 72812187 - 2⁸ = 72811931 is a prime.

It is a super-2 number, since 2×72812187² = 10603229151445938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72812147) 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 35 ways as a sum of consecutive naturals, for example, 16068 + ... + 20094.

It is an arithmetic number, because the mean of its divisors is an integer number (3482206).

Almost surely, 2^72812187 is an apocalyptic number.

72812187 is a deficient number, since it is larger than the sum of its proper divisors (52547229).

72812187 is a wasteful number, since it uses less digits than its factorization.

72812187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4078 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 72812187 is about 8533.0057424099. The cubic root of 72812187 is about 417.5751943637.

The spelling of 72812187 in words is "seventy-two million, eight hundred twelve thousand, one hundred eighty-seven".