73101312 has 104 divisors (see below), whose sum is σ = 216897680. Its totient is φ = 24330240.

The previous prime is 73101311. The next prime is 73101313. The reversal of 73101312 is 21310137.

It is an interprime number because it is at equal distance from previous prime (73101311) and next prime (73101313).

It is a super-2 number, since 2×73101312² = 10687603632242688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73101311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110262 + ... + 110922.

Almost surely, 2^73101312 is an apocalyptic number.

73101312 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 73101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108448840).

73101312 is an abundant number, since it is smaller than the sum of its proper divisors (143796368).

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

73101312 is an equidigital number, since it uses as much as digits as its factorization.

73101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 73101312 is about 8549.9305260335. The cubic root of 73101312 is about 418.1271714581.

Adding to 73101312 its reverse (21310137), we get a palindrome (94411449).

It can be divided in two parts, 731013 and 12, that added together give a square (731025 = 855²).

The spelling of 73101312 in words is "seventy-three million, one hundred one thousand, three hundred twelve".