802072536 has 64 divisors (see below), whose sum is σ = 2131334400. Its totient is φ = 250812288.

The previous prime is 802072511. The next prime is 802072549. The reversal of 802072536 is 635270208.

It is a junction number, because it is equal to n+sod(n) for n = 802072497 and 802072506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38430 + ... + 55506.

It is an arithmetic number, because the mean of its divisors is an integer number (33302100).

Almost surely, 2^802072536 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 802072536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065667200).

802072536 is an abundant number, since it is smaller than the sum of its proper divisors (1329261864).

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

802072536 is a wasteful number, since it uses less digits than its factorization.

802072536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17208 (or 17204 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 802072536 is about 28320.8851556585. The cubic root of 802072536 is about 929.1187304389.

The spelling of 802072536 in words is "eight hundred two million, seventy-two thousand, five hundred thirty-six".