42272496 has 120 divisors (see below), whose sum is σ = 141218640. Its totient is φ = 12071808.

The previous prime is 42272479. The next prime is 42272501. The reversal of 42272496 is 69427224.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42272496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20170 + ... + 22166.

It is an arithmetic number, because the mean of its divisors is an integer number (1176822).

Almost surely, 2^42272496 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 42272496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70609320).

42272496 is an abundant number, since it is smaller than the sum of its proper divisors (98946144).

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

42272496 is a wasteful number, since it uses less digits than its factorization.

42272496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2009 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42272496 is about 6501.7302312538. The cubic root of 42272496 is about 348.3527932373.

The spelling of 42272496 in words is "forty-two million, two hundred seventy-two thousand, four hundred ninety-six".