72148037 has 8 divisors (see below), whose sum is σ = 78468600. Its totient is φ = 65937600.

The previous prime is 72148019. The next prime is 72148049. The reversal of 72148037 is 73084127.

It is a happy number.

It is a Cunningham number, because it is equal to 8494²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 10666756 + 61481281 = 3266^2 + 7841^2 .

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 72148037 - 2⁸ = 72147781 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72147994 and 72148012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72148057) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26162 + ... + 28787.

It is an arithmetic number, because the mean of its divisors is an integer number (9808575).

Almost surely, 2^72148037 is an apocalyptic number.

It is an amenable number.

72148037 is a deficient number, since it is larger than the sum of its proper divisors (6320563).

72148037 is a wasteful number, since it uses less digits than its factorization.

72148037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55063.

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 72148037 is about 8494.0000588651. Note that the first 4 decimals coincide. The cubic root of 72148037 is about 416.3016892106.

It can be divided in two parts, 7214 and 8037, that added together give a palindrome (15251).

The spelling of 72148037 in words is "seventy-two million, one hundred forty-eight thousand, thirty-seven".