72142272 has 112 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 23710464.

The previous prime is 72142249. The next prime is 72142307. The reversal of 72142272 is 27224127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 143173 + ... + 143675.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 2^72142272 is an apocalyptic number.

72142272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

72142272 is an abundant number, since it is smaller than the sum of its proper divisors (142924608).

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

72142272 is a wasteful number, since it uses less digits than its factorization.

72142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 591 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 72142272 is about 8493.6606948948. The cubic root of 72142272 is about 416.2906006984.

Adding to 72142272 its reverse (27224127), we get a palindrome (99366399).

The spelling of 72142272 in words is "seventy-two million, one hundred forty-two thousand, two hundred seventy-two".