286722720 has 192 divisors, whose sum is σ = 1036385280. Its totient is φ = 73958400.

The previous prime is 286722691. The next prime is 286722727. The reversal of 286722720 is 27227682.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286722727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132850 + ... + 134990.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2^286722720 is an apocalyptic number.

286722720 is a gapful number since it is divisible by the number (20) 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 286722720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518192640).

286722720 is an abundant number, since it is smaller than the sum of its proper divisors (749662560).

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

286722720 is a wasteful number, since it uses less digits than its factorization.

286722720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 286722720 is about 16932.8887080734. Note that the first 3 decimals coincide. The cubic root of 286722720 is about 659.4077331369.

The spelling of 286722720 in words is "two hundred eighty-six million, seven hundred twenty-two thousand, seven hundred twenty".