802572 has 24 divisors (see below), whose sum is σ = 1913856. Its totient is φ = 261648.

The previous prime is 802531. The next prime is 802573. The reversal of 802572 is 275208.

802572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802572.

It is not an unprimeable number, because it can be changed into a prime (802573) 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, 148 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (79744).

2⁸⁰²⁵⁷² is an apocalyptic number.

It is an amenable number.

802572 is an abundant number, since it is smaller than the sum of its proper divisors (1111284).

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

802572 is a wasteful number, since it uses less digits than its factorization.

802572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 802572 is about 895.8638289383. The cubic root of 802572 is about 92.9311549685.

The spelling of 802572 in words is "eight hundred two thousand, five hundred seventy-two".