7273664 has 28 divisors (see below), whose sum is σ = 14935200. Its totient is φ = 3510528.

The previous prime is 7273663. The next prime is 7273691. The reversal of 7273664 is 4663727.

7273664 = 172² + 173² + ... + 299².

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7273661) 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 3 ways as a sum of consecutive naturals, for example, 104 + ... + 3815.

It is an arithmetic number, because the mean of its divisors is an integer number (533400).

Almost surely, 2^7273664 is an apocalyptic number.

It is an amenable number.

7273664 is an abundant number, since it is smaller than the sum of its proper divisors (7661536).

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

7273664 is a wasteful number, since it uses less digits than its factorization.

7273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3950 counting only the distinct ones).

The product of its digits is 42336, while the sum is 35.

The square root of 7273664 is about 2696.9731181456. The cubic root of 7273664 is about 193.7541790288.

The spelling of 7273664 in words is "seven million, two hundred seventy-three thousand, six hundred sixty-four".