73167828 has 12 divisors (see below), whose sum is σ = 170724960. Its totient is φ = 24389272.

The previous prime is 73167751. The next prime is 73167851. The reversal of 73167828 is 82876137.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73167828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3048648 + ... + 3048671.

It is an arithmetic number, because the mean of its divisors is an integer number (14227080).

Almost surely, 2^73167828 is an apocalyptic number.

It is an amenable number.

73167828 is an abundant number, since it is smaller than the sum of its proper divisors (97557132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73167828 is a wasteful number, since it uses less digits than its factorization.

73167828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097326 (or 6097324 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 73167828 is about 8553.8194977449. The cubic root of 73167828 is about 418.2539531116.

The spelling of 73167828 in words is "seventy-three million, one hundred sixty-seven thousand, eight hundred twenty-eight".