729757152 has 72 divisors (see below), whose sum is σ = 2109318120. Its totient is φ = 239258880.

The previous prime is 729757121. The next prime is 729757153. The reversal of 729757152 is 251757927.

729757152 is a `hidden beast` number, since 7 + 29 + 7 + 571 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×729757152² = 1065091001790302208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 729757098 and 729757107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729757153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3202 + ... + 38337.

It is an arithmetic number, because the mean of its divisors is an integer number (29296085).

Almost surely, 2^729757152 is an apocalyptic number.

729757152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729757152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054659060).

729757152 is an abundant number, since it is smaller than the sum of its proper divisors (1379560968).

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

729757152 is a wasteful number, since it uses less digits than its factorization.

729757152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41616 (or 41605 counting only the distinct ones).

The product of its digits is 308700, while the sum is 45.

The square root of 729757152 is about 27014.0176945230. The cubic root of 729757152 is about 900.3114773748.

The spelling of 729757152 in words is "seven hundred twenty-nine million, seven hundred fifty-seven thousand, one hundred fifty-two".