729495720 has 256 divisors, whose sum is σ = 2550528000. Its totient is φ = 187557120.

The previous prime is 729495713. The next prime is 729495757. The reversal of 729495720 is 27594927.

729495720 is a `hidden beast` number, since 72 + 9 + 4 + 9 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2711746 + ... + 2712014.

It is an arithmetic number, because the mean of its divisors is an integer number (9963000).

Almost surely, 2^729495720 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 729495720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275264000).

729495720 is an abundant number, since it is smaller than the sum of its proper divisors (1821032280).

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

729495720 is a wasteful number, since it uses less digits than its factorization.

729495720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 729495720 is about 27009.1784399304. The cubic root of 729495720 is about 900.2039537775.

The spelling of 729495720 in words is "seven hundred twenty-nine million, four hundred ninety-five thousand, seven hundred twenty".