72038023201 has 9 divisors (see below), whose sum is σ = 72814654899. Its totient is φ = 71269596864.

The previous prime is 72038023193. The next prime is 72038023223. The reversal of 72038023201 is 10232083027.

The square root of 72038023201 is 268399.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32347821025 + 39690202176 = 179855^2 + 199224^2 .

It is not a de Polignac number, because 72038023201 - 2³ = 72038023193 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 72038023201.

It is not an unprimeable number, because it can be changed into a prime (72030023201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26033320 + ... + 26036086.

It is an arithmetic number, because the mean of its divisors is an integer number (8090517211).

Almost surely, 2^72038023201 is an apocalyptic number.

72038023201 is the 268399-th square number.

72038023201 is the 134200-th centered octagonal number.

It is an amenable number.

72038023201 is a deficient number, since it is larger than the sum of its proper divisors (776631698).

72038023201 is an frugal number, since it uses more digits than its factorization.

72038023201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 72038023201 in words is "seventy-two billion, thirty-eight million, twenty-three thousand, two hundred one".