72037057 has 8 divisors (see below), whose sum is σ = 73416584. Its totient is φ = 70668288.

The previous prime is 72037051. The next prime is 72037061. The reversal of 72037057 is 75073027.

It can be written as a sum of positive squares in 4 ways, for example, as 194481 + 71842576 = 441^2 + 8476^2 .

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 72037057 - 2¹¹ = 72035009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72037051) 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, 11533 + ... + 16645.

It is an arithmetic number, because the mean of its divisors is an integer number (9177073).

Almost surely, 2^72037057 is an apocalyptic number.

It is an amenable number.

72037057 is a deficient number, since it is larger than the sum of its proper divisors (1379527).

72037057 is a wasteful number, since it uses less digits than its factorization.

72037057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379.

The product of its (nonzero) digits is 10290, while the sum is 31.

The square root of 72037057 is about 8487.4646980120. The cubic root of 72037057 is about 416.0881242825.

The spelling of 72037057 in words is "seventy-two million, thirty-seven thousand, fifty-seven".