7266816 has 120 divisors (see below), whose sum is σ = 22342320. Its totient is φ = 2267136.

The previous prime is 7266773. The next prime is 7266817. The reversal of 7266816 is 6186627.

It is a happy number.

It is a super-2 number, since 2×7266816² = 105613229555712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (24192) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (7266817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87511 + ... + 87593.

It is an arithmetic number, because the mean of its divisors is an integer number (186186).

Almost surely, 2^7266816 is an apocalyptic number.

7266816 is a gapful number since it is divisible by the number (76) 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 7266816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171160).

7266816 is an abundant number, since it is smaller than the sum of its proper divisors (15075504).

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

7266816 is a wasteful number, since it uses less digits than its factorization.

7266816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 7266816 is about 2695.7032477630. The cubic root of 7266816 is about 193.6933547900.

The spelling of 7266816 in words is "seven million, two hundred sixty-six thousand, eight hundred sixteen".