72042152 has 96 divisors (see below), whose sum is σ = 172559520. Its totient is φ = 27941760.

The previous prime is 72042151. The next prime is 72042161. The reversal of 72042152 is 25124027.

It is a happy number.

It is a super-2 number, since 2×72042152² = 10380143329582208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72042151) 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 23 ways as a sum of consecutive naturals, for example, 341327 + ... + 341537.

It is an arithmetic number, because the mean of its divisors is an integer number (1797495).

Almost surely, 2^72042152 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 72042152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86279760).

72042152 is an abundant number, since it is smaller than the sum of its proper divisors (100517368).

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

72042152 is a wasteful number, since it uses less digits than its factorization.

72042152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 72042152 is about 8487.7648412288. The cubic root of 72042152 is about 416.0979336737.

Adding to 72042152 its reverse (25124027), we get a palindrome (97166179).

The spelling of 72042152 in words is "seventy-two million, forty-two thousand, one hundred fifty-two".