72829467 has 12 divisors (see below), whose sum is σ = 105956760. Its totient is φ = 48202848.

The previous prime is 72829453. The next prime is 72829481. The reversal of 72829467 is 76492827.

It is an interprime number because it is at equal distance from previous prime (72829453) and next prime (72829481).

It is not a de Polignac number, because 72829467 - 2²⁴ = 56052251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72829417) 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 11 ways as a sum of consecutive naturals, for example, 27858 + ... + 30359.

It is an arithmetic number, because the mean of its divisors is an integer number (8829730).

Almost surely, 2^72829467 is an apocalyptic number.

72829467 is a deficient number, since it is larger than the sum of its proper divisors (33127293).

72829467 is a wasteful number, since it uses less digits than its factorization.

72829467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58362 (or 58359 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72829467 is about 8534.0182212133. The cubic root of 72829467 is about 417.6082251375.

The spelling of 72829467 in words is "seventy-two million, eight hundred twenty-nine thousand, four hundred sixty-seven".