72671749 has 2 divisors, whose sum is σ = 72671750. Its totient is φ = 72671748.

The previous prime is 72671747. The next prime is 72671759. The reversal of 72671749 is 94717627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70862724 + 1809025 = 8418^2 + 1345^2 .

It is a cyclic number.

It is not a de Polignac number, because 72671749 - 2¹ = 72671747 is a prime.

Together with 72671747, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72671747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36335874 + 36335875.

It is an arithmetic number, because the mean of its divisors is an integer number (36335875).

Almost surely, 2^72671749 is an apocalyptic number.

It is an amenable number.

72671749 is a deficient number, since it is larger than the sum of its proper divisors (1).

72671749 is an equidigital number, since it uses as much as digits as its factorization.

72671749 is an evil number, because the sum of its binary digits is even.

The product of its digits is 148176, while the sum is 43.

The square root of 72671749 is about 8524.7726655906. The cubic root of 72671749 is about 417.3065526649.

The spelling of 72671749 in words is "seventy-two million, six hundred seventy-one thousand, seven hundred forty-nine".