42072912 has 80 divisors (see below), whose sum is σ = 138026880. Its totient is φ = 12019968.

The previous prime is 42072889. The next prime is 42072913. The reversal of 42072912 is 21927024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42072913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3933 + ... + 9980.

It is an arithmetic number, because the mean of its divisors is an integer number (1725336).

Almost surely, 2^42072912 is an apocalyptic number.

42072912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42072912 is an abundant number, since it is smaller than the sum of its proper divisors (95953968).

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

42072912 is a wasteful number, since it uses less digits than its factorization.

42072912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13937 (or 13925 counting only the distinct ones).

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

The square root of 42072912 is about 6486.3635420781. The cubic root of 42072912 is about 347.8036942794.

Adding to 42072912 its reverse (21927024), we get a palindrome (63999936).

The spelling of 42072912 in words is "forty-two million, seventy-two thousand, nine hundred twelve".