72511201 has 32 divisors (see below), whose sum is σ = 92364800. Its totient is φ = 55520640.

The previous prime is 72511193. The next prime is 72511213. The reversal of 72511201 is 10211527.

It is not a de Polignac number, because 72511201 - 2³ = 72511193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72511501) 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 31 ways as a sum of consecutive naturals, for example, 177085 + ... + 177493.

It is an arithmetic number, because the mean of its divisors is an integer number (2886400).

Almost surely, 2^72511201 is an apocalyptic number.

It is an amenable number.

72511201 is a deficient number, since it is larger than the sum of its proper divisors (19853599).

72511201 is a wasteful number, since it uses less digits than its factorization.

72511201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 72511201 is about 8515.3509029282. The cubic root of 72511201 is about 416.9990185287. Note that the first 3 decimals are identical.

Adding to 72511201 its reverse (10211527), we get a palindrome (82722728).

The spelling of 72511201 in words is "seventy-two million, five hundred eleven thousand, two hundred one".