729201375 has 192 divisors, whose sum is σ = 1619804160. Its totient is φ = 308448000.

The previous prime is 729201371. The next prime is 729201391. The reversal of 729201375 is 573102927.

It is not a de Polignac number, because 729201375 - 2² = 729201371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729201371) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7079574 + ... + 7079676.

It is an arithmetic number, because the mean of its divisors is an integer number (8436480).

Almost surely, 2^729201375 is an apocalyptic number.

729201375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

729201375 is an abundant number, since it is smaller than the sum of its proper divisors (890602785).

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

729201375 is a wasteful number, since it uses less digits than its factorization.

729201375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 729201375 is about 27003.7289091710. The cubic root of 729201375 is about 900.0828627410.

The spelling of 729201375 in words is "seven hundred twenty-nine million, two hundred one thousand, three hundred seventy-five".