72849731 has 2 divisors, whose sum is σ = 72849732. Its totient is φ = 72849730.

The previous prime is 72849713. The next prime is 72849767. The reversal of 72849731 is 13794827.

Together with previous prime (72849713) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is an emirp because it is prime and its reverse (13794827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72849731 - 2¹⁴ = 72833347 is a prime.

It is a super-2 number, since 2×72849731² = 10614166613544722, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72849031) 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 as a sum of consecutive naturals, namely, 36424865 + 36424866.

It is an arithmetic number, because the mean of its divisors is an integer number (36424866).

Almost surely, 2^72849731 is an apocalyptic number.

72849731 is a deficient number, since it is larger than the sum of its proper divisors (1).

72849731 is an equidigital number, since it uses as much as digits as its factorization.

72849731 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84672, while the sum is 41.

The square root of 72849731 is about 8535.2053871011. The cubic root of 72849731 is about 417.6469531811.

The spelling of 72849731 in words is "seventy-two million, eight hundred forty-nine thousand, seven hundred thirty-one".