7248164 has 48 divisors (see below), whose sum is σ = 16039296. Its totient is φ = 2784000.

The previous prime is 7248119. The next prime is 7248167. The reversal of 7248164 is 4618427.

It is a self number, because there is not a number n which added to its sum of digits gives 7248164.

It is not an unprimeable number, because it can be changed into a prime (7248167) 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 15 ways as a sum of consecutive naturals, for example, 30992 + ... + 31224.

It is an arithmetic number, because the mean of its divisors is an integer number (334152).

Almost surely, 2^7248164 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 7248164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019648).

7248164 is an abundant number, since it is smaller than the sum of its proper divisors (8791132).

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

7248164 is a wasteful number, since it uses less digits than its factorization.

7248164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 7248164 is about 2692.2414453388. The cubic root of 7248164 is about 193.5274928831.

It can be divided in two parts, 724 and 8164, that added together give a palindrome (8888).

The spelling of 7248164 in words is "seven million, two hundred forty-eight thousand, one hundred sixty-four".