72106272 has 144 divisors (see below), whose sum is σ = 239645952. Its totient is φ = 20136960.

The previous prime is 72106259. The next prime is 72106301. The reversal of 72106272 is 27260127.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94372 + ... + 95132.

It is an arithmetic number, because the mean of its divisors is an integer number (1664208).

Almost surely, 2^72106272 is an apocalyptic number.

72106272 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 72106272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

72106272 is an abundant number, since it is smaller than the sum of its proper divisors (167539680).

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

72106272 is a wasteful number, since it uses less digits than its factorization.

72106272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72106272 is about 8491.5412028677. The cubic root of 72106272 is about 416.2213442384.

Adding to 72106272 its reverse (27260127), we get a palindrome (99366399).

The spelling of 72106272 in words is "seventy-two million, one hundred six thousand, two hundred seventy-two".