42372624 has 80 divisors (see below), whose sum is σ = 130563072. Its totient is φ = 11577984.

The previous prime is 42372623. The next prime is 42372689. The reversal of 42372624 is 42627324.

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

It is a junction number, because it is equal to n+sod(n) for n = 42372591 and 42372600.

It is not an unprimeable number, because it can be changed into a prime (42372623) 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, 4987 + ... + 10469.

Almost surely, 2^42372624 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 42372624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65281536).

42372624 is an abundant number, since it is smaller than the sum of its proper divisors (88190448).

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

42372624 is a wasteful number, since it uses less digits than its factorization.

42372624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5518 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 42372624 is about 6509.4257811269. The cubic root of 42372624 is about 348.6276162607.

Adding to 42372624 its reverse (42627324), we get a palindrome (84999948).

The spelling of 42372624 in words is "forty-two million, three hundred seventy-two thousand, six hundred twenty-four".