73768146 has 32 divisors (see below), whose sum is σ = 157286400. Its totient is φ = 22997520.

The previous prime is 73768099. The next prime is 73768157. The reversal of 73768146 is 64186737.

It is a junction number, because it is equal to n+sod(n) for n = 73768098 and 73768107.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4911 + ... + 13101.

It is an arithmetic number, because the mean of its divisors is an integer number (4915200).

Almost surely, 2^73768146 is an apocalyptic number.

73768146 is an abundant number, since it is smaller than the sum of its proper divisors (83518254).

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

73768146 is a wasteful number, since it uses less digits than its factorization.

73768146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294.

The product of its digits is 169344, while the sum is 42.

The square root of 73768146 is about 8588.8384546457. The cubic root of 73768146 is about 419.3947176866.

The spelling of 73768146 in words is "seventy-three million, seven hundred sixty-eight thousand, one hundred forty-six".