7260192 has 60 divisors (see below), whose sum is σ = 21359646. Its totient is φ = 2419200.

The previous prime is 7260191. The next prime is 7260193. The reversal of 7260192 is 2910627.

It is an interprime number because it is at equal distance from previous prime (7260191) and next prime (7260193).

It can be written as a sum of positive squares in only one way, i.e., 6170256 + 1089936 = 2484^2 + 1044^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7260191) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1192 + ... + 3992.

Almost surely, 2^7260192 is an apocalyptic number.

7260192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7260192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10679823).

7260192 is an abundant number, since it is smaller than the sum of its proper divisors (14099454).

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

7260192 is a wasteful number, since it uses less digits than its factorization.

7260192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7260192 is about 2694.4743457676. The cubic root of 7260192 is about 193.6344837602.

The spelling of 7260192 in words is "seven million, two hundred sixty thousand, one hundred ninety-two".