42729960 has 288 divisors, whose sum is σ = 165227040. Its totient is φ = 8805888.

The previous prime is 42729949. The next prime is 42729971. The reversal of 42729960 is 6992724.

It is an interprime number because it is at equal distance from previous prime (42729949) and next prime (42729971).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 993699 + ... + 993741.

It is an arithmetic number, because the mean of its divisors is an integer number (573705).

Almost surely, 2^42729960 is an apocalyptic number.

42729960 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 42729960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82613520).

42729960 is an abundant number, since it is smaller than the sum of its proper divisors (122497080).

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

42729960 is a wasteful number, since it uses less digits than its factorization.

42729960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 42729960 is about 6536.8157385687. The cubic root of 42729960 is about 349.6048874614.

The spelling of 42729960 in words is "forty-two million, seven hundred twenty-nine thousand, nine hundred sixty".