729737052 has 48 divisors (see below), whose sum is σ = 1859692800. Its totient is φ = 220872960.

The previous prime is 729737039. The next prime is 729737059. The reversal of 729737052 is 250737927.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 729736995 and 729737013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729737059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130449 + ... + 135927.

It is an arithmetic number, because the mean of its divisors is an integer number (38743600).

Almost surely, 2^729737052 is an apocalyptic number.

It is an amenable number.

729737052 is an abundant number, since it is smaller than the sum of its proper divisors (1129955748).

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

729737052 is a wasteful number, since it uses less digits than its factorization.

729737052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6506 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 42.

The square root of 729737052 is about 27013.6456628867. The cubic root of 729737052 is about 900.3032114164.

The spelling of 729737052 in words is "seven hundred twenty-nine million, seven hundred thirty-seven thousand, fifty-two".