7473312 has 144 divisors (see below), whose sum is σ = 26574912. Its totient is φ = 1935360.

The previous prime is 7473311. The next prime is 7473313. The reversal of 7473312 is 2133747.

It is an interprime number because it is at equal distance from previous prime (7473311) and next prime (7473313).

It is a tau number, because it is divible by the number of its divisors (144).

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 nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7473311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22008 + ... + 22344.

It is an arithmetic number, because the mean of its divisors is an integer number (184548).

Almost surely, 2^7473312 is an apocalyptic number.

7473312 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 7473312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287456).

7473312 is an abundant number, since it is smaller than the sum of its proper divisors (19101600).

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

7473312 is a wasteful number, since it uses less digits than its factorization.

7473312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 7473312 is about 2733.7359053135. The cubic root of 7473312 is about 195.5109283687.

The spelling of 7473312 in words is "seven million, four hundred seventy-three thousand, three hundred twelve".