73078313 has 36 divisors (see below), whose sum is σ = 97292160. Its totient is φ = 53721360.

The previous prime is 73078309. The next prime is 73078321. The reversal of 73078313 is 31387037.

It is a happy number.

It is not a de Polignac number, because 73078313 - 2² = 73078309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73078313.

It is not an unprimeable number, because it can be changed into a prime (73078303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 305648 + ... + 305886.

It is an arithmetic number, because the mean of its divisors is an integer number (2702560).

Almost surely, 2^73078313 is an apocalyptic number.

It is an amenable number.

73078313 is a deficient number, since it is larger than the sum of its proper divisors (24213847).

73078313 is a wasteful number, since it uses less digits than its factorization.

73078313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 73078313 is about 8548.5854385389. The cubic root of 73078313 is about 418.0833167253.

The spelling of 73078313 in words is "seventy-three million, seventy-eight thousand, three hundred thirteen".