42732768 has 96 divisors (see below), whose sum is σ = 122393376. Its totient is φ = 12976128.

The previous prime is 42732737. The next prime is 42732773. The reversal of 42732768 is 86723724.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 120880 + ... + 121232.

It is an arithmetic number, because the mean of its divisors is an integer number (1274931).

Almost surely, 2^42732768 is an apocalyptic number.

42732768 is a gapful number since it is divisible by the number (48) 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 42732768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61196688).

42732768 is an abundant number, since it is smaller than the sum of its proper divisors (79660608).

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

42732768 is a wasteful number, since it uses less digits than its factorization.

42732768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 42732768 is about 6537.0305185153. The cubic root of 42732768 is about 349.6125453906.

The spelling of 42732768 in words is "forty-two million, seven hundred thirty-two thousand, seven hundred sixty-eight".