72499201 has 2 divisors, whose sum is σ = 72499202. Its totient is φ = 72499200.

The previous prime is 72499187. The next prime is 72499213. The reversal of 72499201 is 10299427.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53802225 + 18696976 = 7335^2 + 4324^2 .

It is an emirp because it is prime and its reverse (10299427) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72499201 - 2⁷ = 72499073 is a prime.

It is a super-2 number, since 2×72499201² = 10512268291276802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72499501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36249600 + 36249601.

It is an arithmetic number, because the mean of its divisors is an integer number (36249601).

It is a Proth number, since it is equal to 4425 ⋅ 2¹⁴ + 1 and 4425 < 2¹⁴.

Almost surely, 2^72499201 is an apocalyptic number.

It is an amenable number.

72499201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72499201 is an equidigital number, since it uses as much as digits as its factorization.

72499201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 72499201 is about 8514.6462639384. The cubic root of 72499201 is about 416.9760139711.

The spelling of 72499201 in words is "seventy-two million, four hundred ninety-nine thousand, two hundred one".