72007272 has 32 divisors (see below), whose sum is σ = 200020800. Its totient is φ = 24002352.

The previous prime is 72007259. The next prime is 72007279. The reversal of 72007272 is 27270027.

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

72007272 is a modest number, since divided by 7272 gives 7200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (72007279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166468 + ... + 166899.

It is an arithmetic number, because the mean of its divisors is an integer number (6250650).

Almost surely, 2^72007272 is an apocalyptic number.

72007272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72007272 is an abundant number, since it is smaller than the sum of its proper divisors (128013528).

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

72007272 is a wasteful number, since it uses less digits than its factorization.

72007272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333382 (or 333372 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 72007272 is about 8485.7098701287. The cubic root of 72007272 is about 416.0307700366.

Adding to 72007272 its reverse (27270027), we get a palindrome (99277299).

The spelling of 72007272 in words is "seventy-two million, seven thousand, two hundred seventy-two".