72001272 has 32 divisors (see below), whose sum is σ = 205718400. Its totient is φ = 20571744.

The previous prime is 72001271. The next prime is 72001291. The reversal of 72001272 is 27210027.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72001271) 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, 214122 + ... + 214457.

It is an arithmetic number, because the mean of its divisors is an integer number (6428700).

Almost surely, 2^72001272 is an apocalyptic number.

It is an amenable number.

72001272 is an abundant number, since it is smaller than the sum of its proper divisors (133717128).

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

72001272 is a wasteful number, since it uses less digits than its factorization.

72001272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428595 (or 428591 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 72001272 is about 8485.3563272263. The cubic root of 72001272 is about 416.0192144725.

Adding to 72001272 its reverse (27210027), we get a palindrome (99211299).

The spelling of 72001272 in words is "seventy-two million, one thousand, two hundred seventy-two".