42763672 has 72 divisors (see below), whose sum is σ = 97110900. Its totient is φ = 17597664.

The previous prime is 42763639. The next prime is 42763681. The reversal of 42763672 is 27636724.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 724779 + ... + 724837.

Almost surely, 2^42763672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42763672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48555450).

42763672 is an abundant number, since it is smaller than the sum of its proper divisors (54347228).

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

42763672 is a wasteful number, since it uses less digits than its factorization.

42763672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 111 counting only the distinct ones).

The product of its digits is 84672, while the sum is 37.

The square root of 42763672 is about 6539.3938557025. The cubic root of 42763672 is about 349.6968040918.

The spelling of 42763672 in words is "forty-two million, seven hundred sixty-three thousand, six hundred seventy-two".