42792224 has 48 divisors (see below), whose sum is σ = 87218208. Its totient is φ = 20654592.

The previous prime is 42792223. The next prime is 42792241. The reversal of 42792224 is 42229724.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42792221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 188399 + ... + 188625.

It is an arithmetic number, because the mean of its divisors is an integer number (1817046).

Almost surely, 2^42792224 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 42792224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43609104).

42792224 is an abundant number, since it is smaller than the sum of its proper divisors (44425984).

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

42792224 is a wasteful number, since it uses less digits than its factorization.

42792224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 42792224 is about 6541.5765683817. The cubic root of 42792224 is about 349.7746140754.

Subtracting from 42792224 its reverse (42229724), we obtain a square (562500 = 750²).

The spelling of 42792224 in words is "forty-two million, seven hundred ninety-two thousand, two hundred twenty-four".