72267001 has 3 divisors (see below), whose sum is σ = 72275503. Its totient is φ = 72258500.

The previous prime is 72266993. The next prime is 72267023. The reversal of 72267001 is 10076227.

The square root of 72267001 is 8501.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 6007401 + 66259600 = 2451^2 + 8140^2 .

It is not a de Polignac number, because 72267001 - 2³ = 72266993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72267061) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4251 + ... + 12751.

Almost surely, 2^72267001 is an apocalyptic number.

72267001 is the 8501-st square number.

72267001 is the 4251-st centered octagonal number.

It is an amenable number.

72267001 is a deficient number, since it is larger than the sum of its proper divisors (8502).

72267001 is an frugal number, since it uses more digits than its factorization.

72267001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17002 (or 8501 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The cubic root of 72267001 is about 416.5303751217.

Multiplying 72267001 by its sum of digits (25), we get a square (1806675025 = 42505²).

The spelling of 72267001 in words is "seventy-two million, two hundred sixty-seven thousand, one".