73029168 has 40 divisors (see below), whose sum is σ = 209622000. Its totient is φ = 24342912.

The previous prime is 73029167. The next prime is 73029169. The reversal of 73029168 is 86192037.

It is an interprime number because it is at equal distance from previous prime (73029167) and next prime (73029169).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73029167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84093 + ... + 84956.

It is an arithmetic number, because the mean of its divisors is an integer number (5240550).

Almost surely, 2^73029168 is an apocalyptic number.

It is an amenable number.

73029168 is an abundant number, since it is smaller than the sum of its proper divisors (136592832).

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

73029168 is a wasteful number, since it uses less digits than its factorization.

73029168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169066 (or 169054 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 73029168 is about 8545.7105029365. The cubic root of 73029168 is about 417.9895756808.

The spelling of 73029168 in words is "seventy-three million, twenty-nine thousand, one hundred sixty-eight".