729892152 has 48 divisors (see below), whose sum is σ = 2156501880. Its totient is φ = 221179200.

The previous prime is 729892133. The next prime is 729892153. The reversal of 729892152 is 251298927.

It is a happy number.

It is a super-2 number, since 2×729892152² = 1065485107102382208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 729892098 and 729892107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729892153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459999 + ... + 461582.

Almost surely, 2^729892152 is an apocalyptic number.

729892152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

729892152 is an abundant number, since it is smaller than the sum of its proper divisors (1426609728).

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

729892152 is a wasteful number, since it uses less digits than its factorization.

729892152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921604 (or 921597 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 729892152 is about 27016.5162817118. The cubic root of 729892152 is about 900.3669910732.

The spelling of 729892152 in words is "seven hundred twenty-nine million, eight hundred ninety-two thousand, one hundred fifty-two".