42729032 has 32 divisors (see below), whose sum is σ = 84127680. Its totient is φ = 20306880.

The previous prime is 42729031. The next prime is 42729047. The reversal of 42729032 is 23092724.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42728986 and 42729004.

It is not an unprimeable number, because it can be changed into a prime (42729031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32663 + ... + 33945.

It is an arithmetic number, because the mean of its divisors is an integer number (2628990).

Almost surely, 2^42729032 is an apocalyptic number.

It is an amenable number.

42729032 is a deficient number, since it is larger than the sum of its proper divisors (41398648).

42729032 is a wasteful number, since it uses less digits than its factorization.

42729032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 42729032 is about 6536.7447556104. The cubic root of 42729032 is about 349.6023565621.

It can be divided in two parts, 4 and 2729032, that multiplied together give a triangular number (10916128 = T₄₆₇₂).

The spelling of 42729032 in words is "forty-two million, seven hundred twenty-nine thousand, thirty-two".