729501696 has 312 divisors, whose sum is σ = 2637370944. Its totient is φ = 188743680.

The previous prime is 729501673. The next prime is 729501697. The reversal of 729501696 is 696105927.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729501697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838400 + ... + 2838656.

It is an arithmetic number, because the mean of its divisors is an integer number (8453112).

Almost surely, 2^729501696 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 729501696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318685472).

729501696 is an abundant number, since it is smaller than the sum of its proper divisors (1907869248).

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

729501696 is a wasteful number, since it uses less digits than its factorization.

729501696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 729501696 is about 27009.2890687630. The cubic root of 729501696 is about 900.2064119158.

The spelling of 729501696 in words is "seven hundred twenty-nine million, five hundred one thousand, six hundred ninety-six".