72147937 has 8 divisors (see below), whose sum is σ = 74302976. Its totient is φ = 70014672.

The previous prime is 72147931. The next prime is 72147967. The reversal of 72147937 is 73974127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72147937 - 2⁷ = 72147809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72147937.

It is not an unprimeable number, because it can be changed into a prime (72147931) 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, 1408 + ... + 12094.

It is an arithmetic number, because the mean of its divisors is an integer number (9287872).

Almost surely, 2^72147937 is an apocalyptic number.

It is an amenable number.

72147937 is a deficient number, since it is larger than the sum of its proper divisors (2155039).

72147937 is a wasteful number, since it uses less digits than its factorization.

72147937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10887.

The product of its digits is 74088, while the sum is 40.

The square root of 72147937 is about 8493.9941723550. The cubic root of 72147937 is about 416.3014968737.

It can be divided in two parts, 7214 and 7937, that added together give a palindrome (15151).

The spelling of 72147937 in words is "seventy-two million, one hundred forty-seven thousand, nine hundred thirty-seven".