72072001 has 4 divisors (see below), whose sum is σ = 72598212. Its totient is φ = 71545792.

The previous prime is 72071983. The next prime is 72072017. The reversal of 72072001 is 10027027.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 15054400 + 57017601 = 3880^2 + 7551^2 .

It is a cyclic number.

It is not a de Polignac number, because 72072001 - 2¹⁷ = 71940929 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 72072001.

It is not an unprimeable number, because it can be changed into a prime (72072031) 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 3 ways as a sum of consecutive naturals, for example, 262900 + ... + 263173.

It is an arithmetic number, because the mean of its divisors is an integer number (18149553).

Almost surely, 2^72072001 is an apocalyptic number.

It is an amenable number.

72072001 is a deficient number, since it is larger than the sum of its proper divisors (526211).

72072001 is a wasteful number, since it uses less digits than its factorization.

72072001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526210.

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 72072001 is about 8489.5230136916. The cubic root of 72072001 is about 416.1553925915.

Adding to 72072001 its reverse (10027027), we get a palindrome (82099028).

The spelling of 72072001 in words is "seventy-two million, seventy-two thousand, one".