7362564 has 72 divisors (see below), whose sum is σ = 20011488. Its totient is φ = 2088960.

The previous prime is 7362559. The next prime is 7362569. The reversal of 7362564 is 4652637.

7362564 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7362559) and next prime (7362569).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (7362569) 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, 38052 + ... + 38244.

Almost surely, 2^7362564 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 7362564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10005744).

7362564 is an abundant number, since it is smaller than the sum of its proper divisors (12648924).

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

7362564 is a wasteful number, since it uses less digits than its factorization.

7362564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 7362564 is about 2713.4045035711. The cubic root of 7362564 is about 194.5403506444.

The spelling of 7362564 in words is "seven million, three hundred sixty-two thousand, five hundred sixty-four".