512072736 has 144 divisors (see below), whose sum is σ = 1631980224. Its totient is φ = 139915776.

The previous prime is 512072731. The next prime is 512072747. The reversal of 512072736 is 637270215.

It is a junction number, because it is equal to n+sod(n) for n = 512072697 and 512072706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512072731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105826 + ... + 110558.

It is an arithmetic number, because the mean of its divisors is an integer number (11333196).

Almost surely, 2^512072736 is an apocalyptic number.

512072736 is a gapful number since it is divisible by the number (56) 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 512072736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815990112).

512072736 is an abundant number, since it is smaller than the sum of its proper divisors (1119907488).

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

512072736 is a wasteful number, since it uses less digits than its factorization.

512072736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 512072736 is about 22629.0241946046. The cubic root of 512072736 is about 800.0378815395.

The spelling of 512072736 in words is "five hundred twelve million, seventy-two thousand, seven hundred thirty-six".