729208890 has 48 divisors (see below), whose sum is σ = 1914738696. Its totient is φ = 192528000.

The previous prime is 729208889. The next prime is 729208891. The reversal of 729208890 is 98802927.

It is an interprime number because it is at equal distance from previous prime (729208889) and next prime (729208891).

It can be written as a sum of positive squares in 4 ways, for example, as 706655889 + 22553001 = 26583^2 + 4749^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (729208891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31021 + ... + 49200.

Almost surely, 2^729208890 is an apocalyptic number.

729208890 is an abundant number, since it is smaller than the sum of its proper divisors (1185529806).

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

729208890 is a wasteful number, since it uses less digits than its factorization.

729208890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80335 (or 80332 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 729208890 is about 27003.8680562619. The cubic root of 729208890 is about 900.0859547536.

It can be divided in two parts, 72920 and 8890, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 729208890 in words is "seven hundred twenty-nine million, two hundred eight thousand, eight hundred ninety".