7289472 has 64 divisors (see below), whose sum is σ = 19877760. Its totient is φ = 2365440.

The previous prime is 7289467. The next prime is 7289479. The reversal of 7289472 is 2749827.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 7289472.

It is not an unprimeable number, because it can be changed into a prime (7289479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15513 + ... + 15975.

It is an arithmetic number, because the mean of its divisors is an integer number (310590).

Almost surely, 2^7289472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9938880).

7289472 is an abundant number, since it is smaller than the sum of its proper divisors (12588288).

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

7289472 is a wasteful number, since it uses less digits than its factorization.

7289472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 509 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 7289472 is about 2699.9022204517. The cubic root of 7289472 is about 193.8944407490.

The spelling of 7289472 in words is "seven million, two hundred eighty-nine thousand, four hundred seventy-two".