7087200 has 72 divisors (see below), whose sum is σ = 23076648. Its totient is φ = 1889280.

The previous prime is 7087123. The next prime is 7087207. The reversal of 7087200 is 27807.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7087207) 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, 924 + ... + 3876.

It is an arithmetic number, because the mean of its divisors is an integer number (320509).

Almost surely, 2^7087200 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 7087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11538324).

7087200 is an abundant number, since it is smaller than the sum of its proper divisors (15989448).

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

7087200 is a wasteful number, since it uses less digits than its factorization.

7087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 7087200 is about 2662.1795581816. The cubic root of 7087200 is about 192.0841644894.

The spelling of 7087200 in words is "seven million, eighty-seven thousand, two hundred".