42729296 has 40 divisors (see below), whose sum is σ = 90697320. Its totient is φ = 19410944.

The previous prime is 42729293. The next prime is 42729299. The reversal of 42729296 is 69292724.

It is an interprime number because it is at equal distance from previous prime (42729293) and next prime (42729299).

It can be written as a sum of positive squares in 4 ways, for example, as 3841600 + 38887696 = 1960^2 + 6236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42729293) 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, 5180 + ... + 10596.

It is an arithmetic number, because the mean of its divisors is an integer number (2267433).

Almost surely, 2^42729296 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 42729296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45348660).

42729296 is an abundant number, since it is smaller than the sum of its proper divisors (47968024).

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

42729296 is a wasteful number, since it uses less digits than its factorization.

42729296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5465 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 42729296 is about 6536.7649491167. The cubic root of 42729296 is about 349.6030765630.

The spelling of 42729296 in words is "forty-two million, seven hundred twenty-nine thousand, two hundred ninety-six".