729031536 has 160 divisors (see below), whose sum is σ = 2258694720. Its totient is φ = 224280576.

The previous prime is 729031531. The next prime is 729031543. The reversal of 729031536 is 635130927.

729031536 is a `hidden beast` number, since 7 + 2 + 90 + 31 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 729031536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729031531) 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, 388296 + ... + 390168.

It is an arithmetic number, because the mean of its divisors is an integer number (14116842).

Almost surely, 2^729031536 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 729031536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129347360).

729031536 is an abundant number, since it is smaller than the sum of its proper divisors (1529663184).

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

729031536 is a wasteful number, since it uses less digits than its factorization.

729031536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 729031536 is about 27000.5839936843. The cubic root of 729031536 is about 900.0129775906.

The spelling of 729031536 in words is "seven hundred twenty-nine million, thirty-one thousand, five hundred thirty-six".