72672241 has 2 divisors, whose sum is σ = 72672242. Its totient is φ = 72672240.

The previous prime is 72672209. The next prime is 72672251. The reversal of 72672241 is 14227627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39942400 + 32729841 = 6320^2 + 5721^2 .

It is a cyclic number.

It is not a de Polignac number, because 72672241 - 2⁵ = 72672209 is a prime.

It is a super-2 number, since 2×72672241² = 10562509223924162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72672251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36336120 + 36336121.

It is an arithmetic number, because the mean of its divisors is an integer number (36336121).

Almost surely, 2^72672241 is an apocalyptic number.

It is an amenable number.

72672241 is a deficient number, since it is larger than the sum of its proper divisors (1).

72672241 is an equidigital number, since it uses as much as digits as its factorization.

72672241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9408, while the sum is 31.

The square root of 72672241 is about 8524.8015226162. The cubic root of 72672241 is about 417.3074944080.

Adding to 72672241 its reverse (14227627), we get a palindrome (86899868).

The spelling of 72672241 in words is "seventy-two million, six hundred seventy-two thousand, two hundred forty-one".