73202112 has 84 divisors (see below), whose sum is σ = 211354416. Its totient is φ = 24222720.

The previous prime is 73202083. The next prime is 73202113. The reversal of 73202112 is 21120237.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73202113) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 95812 + ... + 96572.

It is an arithmetic number, because the mean of its divisors is an integer number (2516124).

Almost surely, 2^73202112 is an apocalyptic number.

73202112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105677208).

73202112 is an abundant number, since it is smaller than the sum of its proper divisors (138152304).

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

73202112 is a wasteful number, since it uses less digits than its factorization.

73202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 73202112 is about 8555.8232800824. The cubic root of 73202112 is about 418.3192695211.

Adding to 73202112 its reverse (21120237), we get a palindrome (94322349).

The spelling of 73202112 in words is "seventy-three million, two hundred two thousand, one hundred twelve".