73112814 has 96 divisors (see below), whose sum is σ = 178295040. Its totient is φ = 22153824.

The previous prime is 73112813. The next prime is 73112821. The reversal of 73112814 is 41821137.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73112813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1700277 + ... + 1700319.

It is an arithmetic number, because the mean of its divisors is an integer number (1857240).

Almost surely, 2^73112814 is an apocalyptic number.

73112814 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73112814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89147520).

73112814 is an abundant number, since it is smaller than the sum of its proper divisors (105182226).

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

73112814 is a wasteful number, since it uses less digits than its factorization.

73112814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 108 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 73112814 is about 8550.6031366214. The cubic root of 73112814 is about 418.1491001412.

The spelling of 73112814 in words is "seventy-three million, one hundred twelve thousand, eight hundred fourteen".