73879047 has 64 divisors (see below), whose sum is σ = 125637120. Its totient is φ = 43040160.

The previous prime is 73879027. The next prime is 73879051. The reversal of 73879047 is 74097837.

It is not a de Polignac number, because 73879047 - 2⁷ = 73878919 is a prime.

It is a super-2 number, since 2×73879047² = 10916227171256418, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73878993 and 73879011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73879027) 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 63 ways as a sum of consecutive naturals, for example, 890068 + ... + 890150.

It is an arithmetic number, because the mean of its divisors is an integer number (1963080).

Almost surely, 2^73879047 is an apocalyptic number.

73879047 is a deficient number, since it is larger than the sum of its proper divisors (51758073).

73879047 is an equidigital number, since it uses as much as digits as its factorization.

73879047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 73879047 is about 8595.2921416320. The cubic root of 73879047 is about 419.6047812783.

It can be divided in two parts, 738790 and 47, that added together give a palindrome (738837).

The spelling of 73879047 in words is "seventy-three million, eight hundred seventy-nine thousand, forty-seven".