7265160 has 192 divisors, whose sum is σ = 28598400. Its totient is φ = 1607040.

The previous prime is 7265149. The next prime is 7265189. The reversal of 7265160 is 615627.

7265160 is a `hidden beast` number, since 7 + 2 + 651 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 234345 + ... + 234375.

It is an arithmetic number, because the mean of its divisors is an integer number (148950).

Almost surely, 2^7265160 is an apocalyptic number.

7265160 is a gapful number since it is divisible by the number (70) 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 7265160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14299200).

7265160 is an abundant number, since it is smaller than the sum of its proper divisors (21333240).

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

7265160 is a wasteful number, since it uses less digits than its factorization.

7265160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7265160 is about 2695.3960747912. The cubic root of 7265160 is about 193.6786403876.

It can be divided in two parts, 726 and 5160, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 7265160 in words is "seven million, two hundred sixty-five thousand, one hundred sixty".