42786072 has 96 divisors (see below), whose sum is σ = 138228480. Its totient is φ = 11689920.

The previous prime is 42786061. The next prime is 42786077. The reversal of 42786072 is 27068724.

42786072 is a `hidden beast` number, since 42 + 7 + 8 + 607 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42786077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9747 + ... + 13437.

It is an arithmetic number, because the mean of its divisors is an integer number (1439880).

Almost surely, 2^42786072 is an apocalyptic number.

42786072 is a gapful number since it is divisible by the number (42) 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 42786072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69114240).

42786072 is an abundant number, since it is smaller than the sum of its proper divisors (95442408).

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

42786072 is a wasteful number, since it uses less digits than its factorization.

42786072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 42786072 is about 6541.1063284432. The cubic root of 42786072 is about 349.7578515552.

The spelling of 42786072 in words is "forty-two million, seven hundred eighty-six thousand, seventy-two".