72538201 has 8 divisors (see below), whose sum is σ = 76891464. Its totient is φ = 68194560.

The previous prime is 72538187. The next prime is 72538229. The reversal of 72538201 is 10283527.

It can be written as a sum of positive squares in 4 ways, for example, as 11323225 + 61214976 = 3365^2 + 7824^2 .

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 72538201 - 2¹³ = 72530009 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 72538201.

It is not an unprimeable number, because it can be changed into a prime (72538261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18271 + ... + 21883.

It is an arithmetic number, because the mean of its divisors is an integer number (9611433).

Almost surely, 2^72538201 is an apocalyptic number.

It is an amenable number.

72538201 is a deficient number, since it is larger than the sum of its proper divisors (4353263).

72538201 is a wasteful number, since it uses less digits than its factorization.

72538201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 72538201 is about 8516.9361275050. The cubic root of 72538201 is about 417.0507695050.

The spelling of 72538201 in words is "seventy-two million, five hundred thirty-eight thousand, two hundred one".