729554040 has 224 divisors, whose sum is σ = 2493089280. Its totient is φ = 192036096.

The previous prime is 729554017. The next prime is 729554051. The reversal of 729554040 is 40455927.

729554040 is a `hidden beast` number, since 72 + 9 + 5 + 540 + 40 = 666.

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 = 729553986 and 729554004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3703222 + ... + 3703418.

Almost surely, 2^729554040 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 729554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246544640).

729554040 is an abundant number, since it is smaller than the sum of its proper divisors (1763535240).

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

729554040 is a wasteful number, since it uses less digits than its factorization.

729554040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 729554040 is about 27010.2580513404. The cubic root of 729554040 is about 900.2279422644.

The spelling of 729554040 in words is "seven hundred twenty-nine million, five hundred fifty-four thousand, forty".