729231552 has 336 divisors, whose sum is σ = 2601285120. Its totient is φ = 196204032.

The previous prime is 729231527. The next prime is 729231553. The reversal of 729231552 is 255132927.

729231552 is a `hidden beast` number, since 7 + 292 + 315 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (729231553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4366573 + ... + 4366739.

It is an arithmetic number, because the mean of its divisors is an integer number (7741920).

Almost surely, 2^729231552 is an apocalyptic number.

729231552 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 729231552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300642560).

729231552 is an abundant number, since it is smaller than the sum of its proper divisors (1872053568).

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

729231552 is a wasteful number, since it uses less digits than its factorization.

729231552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 198 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 729231552 is about 27004.2876595551. The cubic root of 729231552 is about 900.0952788018.

The spelling of 729231552 in words is "seven hundred twenty-nine million, two hundred thirty-one thousand, five hundred fifty-two".