72042000 has 80 divisors (see below), whose sum is σ = 232282752. Its totient is φ = 19209600.

The previous prime is 72041993. The next prime is 72042017. The reversal of 72042000 is 24027.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4 + ... + 12003.

Almost surely, 2^72042000 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 72042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116141376).

72042000 is an abundant number, since it is smaller than the sum of its proper divisors (160240752).

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

72042000 is a wasteful number, since it uses less digits than its factorization.

72042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12033 (or 12017 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 72042000 is about 8487.7558871589. The cubic root of 72042000 is about 416.0976410351.

Adding to 72042000 its reverse (24027), we get a palindrome (72066027).

The spelling of 72042000 in words is "seventy-two million, forty-two thousand".