7266400 has 72 divisors (see below), whose sum is σ = 18373824. Its totient is φ = 2803200.

The previous prime is 7266349. The next prime is 7266403. The reversal of 7266400 is 46627.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7266403) 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, 24654 + ... + 24946.

It is an arithmetic number, because the mean of its divisors is an integer number (255192).

Almost surely, 2^7266400 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 7266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186912).

7266400 is an abundant number, since it is smaller than the sum of its proper divisors (11107424).

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

7266400 is a wasteful number, since it uses less digits than its factorization.

7266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 7266400 is about 2695.6260868303. The cubic root of 7266400 is about 193.6896586286.

Adding to 7266400 its product of nonzero digits (2016), we get a square (7268416 = 2696²).

The spelling of 7266400 in words is "seven million, two hundred sixty-six thousand, four hundred".