807072 has 48 divisors (see below), whose sum is σ = 2423232. Its totient is φ = 230400.

The previous prime is 807071. The next prime is 807077. The reversal of 807072 is 270708.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (24) 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 (24).

It is not an unprimeable number, because it can be changed into a prime (807071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 1272.

It is an arithmetic number, because the mean of its divisors is an integer number (50484).

2⁸⁰⁷⁰⁷² 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 807072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211616).

807072 is an abundant number, since it is smaller than the sum of its proper divisors (1616160).

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

807072 is a wasteful number, since it uses less digits than its factorization.

807072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1213 counting only the distinct ones).

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

The square root of 807072 is about 898.3718606457. The cubic root of 807072 is about 93.1045188657.

The spelling of 807072 in words is "eight hundred seven thousand, seventy-two".