729095040 has 128 divisors (see below), whose sum is σ = 2582272800. Its totient is φ = 194420736.

The previous prime is 729095033. The next prime is 729095051. The reversal of 729095040 is 40590927.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 729094986 and 729095004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3817 + ... + 38376.

Almost surely, 2^729095040 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 729095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291136400).

729095040 is an abundant number, since it is smaller than the sum of its proper divisors (1853177760).

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

729095040 is a wasteful number, since it uses less digits than its factorization.

729095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42221 (or 42203 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 729095040 is about 27001.7599426408. The cubic root of 729095040 is about 900.0391094116.

The spelling of 729095040 in words is "seven hundred twenty-nine million, ninety-five thousand, forty".