7273840 has 80 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 2407680.

The previous prime is 7273829. The next prime is 7273843. The reversal of 7273840 is 483727.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7273843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17151 + ... + 17569.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^7273840 is an apocalyptic number.

7273840 is a gapful number since it is divisible by the number (70) 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 7273840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

7273840 is an abundant number, since it is smaller than the sum of its proper divisors (12724880).

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

7273840 is a wasteful number, since it uses less digits than its factorization.

7273840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 7273840 is about 2697.0057471203. The cubic root of 7273840 is about 193.7557417653.

Subtracting from 7273840 its sum of digits (31), we obtain a square (7273809 = 2697²).

The spelling of 7273840 in words is "seven million, two hundred seventy-three thousand, eight hundred forty".