42729000 has 64 divisors (see below), whose sum is σ = 133323840. Its totient is φ = 11393600.

The previous prime is 42728993. The next prime is 42729013. The reversal of 42729000 is 92724.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4122 + ... + 10121.

It is an arithmetic number, because the mean of its divisors is an integer number (2083185).

Almost surely, 2^42729000 is an apocalyptic number.

42729000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42729000 is an abundant number, since it is smaller than the sum of its proper divisors (90594840).

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

42729000 is a wasteful number, since it uses less digits than its factorization.

42729000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14267 (or 14253 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 42729000 is about 6536.7423079084. The cubic root of 42729000 is about 349.6022692890.

The spelling of 42729000 in words is "forty-two million, seven hundred twenty-nine thousand".