42072960 has 128 divisors (see below), whose sum is σ = 142106400. Its totient is φ = 10551296.

The previous prime is 42072931. The next prime is 42073027. The reversal of 42072960 is 6927024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31996 + ... + 33284.

Almost surely, 2^42072960 is an apocalyptic number.

42072960 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 42072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71053200).

42072960 is an abundant number, since it is smaller than the sum of its proper divisors (100033440).

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

42072960 is a wasteful number, since it uses less digits than its factorization.

42072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 42072960 is about 6486.3672421472. The cubic root of 42072960 is about 347.8038265464.

Adding to 42072960 its reverse (6927024), we get a palindrome (48999984).

The spelling of 42072960 in words is "forty-two million, seventy-two thousand, nine hundred sixty".