42729120 has 288 divisors, whose sum is σ = 173916288. Its totient is φ = 9704448.

The previous prime is 42729107. The next prime is 42729131. The reversal of 42729120 is 2192724.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272082 + ... + 272238.

It is an arithmetic number, because the mean of its divisors is an integer number (603876).

Almost surely, 2^42729120 is an apocalyptic number.

42729120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86958144).

42729120 is an abundant number, since it is smaller than the sum of its proper divisors (131187168).

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

42729120 is a wasteful number, since it uses less digits than its factorization.

42729120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42729120 is about 6536.7514867861. The cubic root of 42729120 is about 349.6025965627.

It can be divided in two parts, 42729 and 120, that added together give a square (42849 = 207²).

The spelling of 42729120 in words is "forty-two million, seven hundred twenty-nine thousand, one hundred twenty".