72810135 has 12 divisors (see below), whose sum is σ = 126204312. Its totient is φ = 38832048.

The previous prime is 72810131. The next prime is 72810139. The reversal of 72810135 is 53101827.

It is an interprime number because it is at equal distance from previous prime (72810131) and next prime (72810139).

It is not a de Polignac number, because 72810135 - 2² = 72810131 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 72810099 and 72810108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72810131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 808957 + ... + 809046.

It is an arithmetic number, because the mean of its divisors is an integer number (10517026).

Almost surely, 2^72810135 is an apocalyptic number.

72810135 is a deficient number, since it is larger than the sum of its proper divisors (53394177).

72810135 is a wasteful number, since it uses less digits than its factorization.

72810135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618014 (or 1618011 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 72810135 is about 8532.8855025718. The cubic root of 72810135 is about 417.5712716122.

The spelling of 72810135 in words is "seventy-two million, eight hundred ten thousand, one hundred thirty-five".