729170820 has 288 divisors, whose sum is σ = 2632331520. Its totient is φ = 159943680.

The previous prime is 729170801. The next prime is 729170837. The reversal of 729170820 is 28071927.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4073491 + ... + 4073669.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2^729170820 is an apocalyptic number.

729170820 is a gapful number since it is divisible by the number (70) 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 729170820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316165760).

729170820 is an abundant number, since it is smaller than the sum of its proper divisors (1903160700).

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

729170820 is a wasteful number, since it uses less digits than its factorization.

729170820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 729170820 is about 27003.1631480462. The cubic root of 729170820 is about 900.0702908064.

The spelling of 729170820 in words is "seven hundred twenty-nine million, one hundred seventy thousand, eight hundred twenty".