729900072 has 288 divisors, whose sum is σ = 2352823200. Its totient is φ = 211559040.

The previous prime is 729900019. The next prime is 729900089. The reversal of 729900072 is 270009927.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6821443 + ... + 6821549.

It is an arithmetic number, because the mean of its divisors is an integer number (8169525).

Almost surely, 2^729900072 is an apocalyptic number.

729900072 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 729900072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176411600).

729900072 is an abundant number, since it is smaller than the sum of its proper divisors (1622923128).

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

729900072 is a wasteful number, since it uses less digits than its factorization.

729900072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 729900072 is about 27016.6628583176. The cubic root of 729900072 is about 900.3702476643.

Adding to 729900072 its reverse (270009927), we get a palindrome (999909999).

The spelling of 729900072 in words is "seven hundred twenty-nine million, nine hundred thousand, seventy-two".