72037665 has 48 divisors (see below), whose sum is σ = 144758016. Its totient is φ = 32457600.

The previous prime is 72037661. The next prime is 72037673. The reversal of 72037665 is 56673027.

It is a happy number.

It is not a de Polignac number, because 72037665 - 2² = 72037661 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72037661) 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 47 ways as a sum of consecutive naturals, for example, 20755 + ... + 23975.

It is an arithmetic number, because the mean of its divisors is an integer number (3015792).

Almost surely, 2^72037665 is an apocalyptic number.

It is an amenable number.

72037665 is an abundant number, since it is smaller than the sum of its proper divisors (72720351).

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

72037665 is a wasteful number, since it uses less digits than its factorization.

72037665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 72037665 is about 8487.5005154639. The cubic root of 72037665 is about 416.0892948877.

The spelling of 72037665 in words is "seventy-two million, thirty-seven thousand, six hundred sixty-five".