7320456 has 160 divisors (see below), whose sum is σ = 24393600. Its totient is φ = 2021760.

The previous prime is 7320451. The next prime is 7320461. The reversal of 7320456 is 6540237.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7320451) and next prime (7320461).

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 Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (7320451) 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 39 ways as a sum of consecutive naturals, for example, 92625 + ... + 92703.

It is an arithmetic number, because the mean of its divisors is an integer number (152460).

Almost surely, 2^7320456 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 7320456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196800).

7320456 is an abundant number, since it is smaller than the sum of its proper divisors (17073144).

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

7320456 is a wasteful number, since it uses less digits than its factorization.

7320456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 7320456 is about 2705.6341216062. The cubic root of 7320456 is about 194.1687694231.

It can be divided in two parts, 7320 and 456, that added together give a 5-th power (7776 = 6⁵).

The spelling of 7320456 in words is "seven million, three hundred twenty thousand, four hundred fifty-six".