729145632 has 48 divisors (see below), whose sum is σ = 1997231040. Its totient is φ = 232480512.

The previous prime is 729145631. The next prime is 729145673. The reversal of 729145632 is 236541927.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (729145631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162907 + ... + 167322.

It is an arithmetic number, because the mean of its divisors is an integer number (41608980).

Almost surely, 2^729145632 is an apocalyptic number.

It is an amenable number.

729145632 is an abundant number, since it is smaller than the sum of its proper divisors (1268085408).

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

729145632 is a wasteful number, since it uses less digits than its factorization.

729145632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330265 (or 330257 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 729145632 is about 27002.6967542133. The cubic root of 729145632 is about 900.0599268739.

The spelling of 729145632 in words is "seven hundred twenty-nine million, one hundred forty-five thousand, six hundred thirty-two".