536769072 has 160 divisors (see below), whose sum is σ = 1774886400. Its totient is φ = 152140032.

The previous prime is 536769071. The next prime is 536769109. The reversal of 536769072 is 270967635.

It is not an unprimeable number, because it can be changed into a prime (536769071) 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, 419698 + ... + 420974.

It is an arithmetic number, because the mean of its divisors is an integer number (11093040).

Almost surely, 2^536769072 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 536769072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887443200).

536769072 is an abundant number, since it is smaller than the sum of its proper divisors (1238117328).

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

536769072 is a wasteful number, since it uses less digits than its factorization.

536769072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 536769072 is about 23168.2772773463. The cubic root of 536769072 is about 812.6979447345.

The spelling of 536769072 in words is "five hundred thirty-six million, seven hundred sixty-nine thousand, seventy-two".