72846129 has 8 divisors (see below), whose sum is σ = 101351232. Its totient is φ = 46452560.

The previous prime is 72846121. The next prime is 72846157. The reversal of 72846129 is 92164827.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72846129 - 2³ = 72846121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72846121) 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 7 ways as a sum of consecutive naturals, for example, 527802 + ... + 527939.

It is an arithmetic number, because the mean of its divisors is an integer number (12668904).

Almost surely, 2^72846129 is an apocalyptic number.

It is an amenable number.

72846129 is a deficient number, since it is larger than the sum of its proper divisors (28505103).

72846129 is a wasteful number, since it uses less digits than its factorization.

72846129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055767.

The product of its digits is 48384, while the sum is 39.

The square root of 72846129 is about 8534.9943760966. The cubic root of 72846129 is about 417.6400696548.

The spelling of 72846129 in words is "seventy-two million, eight hundred forty-six thousand, one hundred twenty-nine".