72058201 has 2 divisors, whose sum is σ = 72058202. Its totient is φ = 72058200.

The previous prime is 72058183. The next prime is 72058219. The reversal of 72058201 is 10285027.

It is a balanced prime because it is at equal distance from previous prime (72058183) and next prime (72058219).

It can be written as a sum of positive squares in only one way, i.e., 63361600 + 8696601 = 7960^2 + 2949^2 .

It is a cyclic number.

It is not a de Polignac number, because 72058201 - 2¹³ = 72050009 is a prime.

It is not a weakly prime, because it can be changed into another prime (72058001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36029100 + 36029101.

It is an arithmetic number, because the mean of its divisors is an integer number (36029101).

Almost surely, 2^72058201 is an apocalyptic number.

It is an amenable number.

72058201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72058201 is an equidigital number, since it uses as much as digits as its factorization.

72058201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 72058201 is about 8488.7102082707. The cubic root of 72058201 is about 416.1288297520.

The spelling of 72058201 in words is "seventy-two million, fifty-eight thousand, two hundred one".