342729072 has 120 divisors (see below), whose sum is σ = 1143926784. Its totient is φ = 93658752.

The previous prime is 342729059. The next prime is 342729077. The reversal of 342729072 is 270927243.

It is a super-3 number, since 3×342729072³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342729077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15793 + ... + 30575.

Almost surely, 2^342729072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342729072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571963392).

342729072 is an abundant number, since it is smaller than the sum of its proper divisors (801197712).

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

342729072 is a wasteful number, since it uses less digits than its factorization.

342729072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14827 (or 14818 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 342729072 is about 18512.9433640359. The cubic root of 342729072 is about 699.8156466907.

The spelling of 342729072 in words is "three hundred forty-two million, seven hundred twenty-nine thousand, seventy-two".