72657301 has 2 divisors, whose sum is σ = 72657302. Its totient is φ = 72657300.

The previous prime is 72657281. The next prime is 72657331. The reversal of 72657301 is 10375627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67486225 + 5171076 = 8215^2 + 2274^2 .

It is a cyclic number.

It is not a de Polignac number, because 72657301 - 2¹⁵ = 72624533 is a prime.

It is a super-3 number, since 3×72657301³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72657331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36328650 + 36328651.

It is an arithmetic number, because the mean of its divisors is an integer number (36328651).

Almost surely, 2^72657301 is an apocalyptic number.

It is an amenable number.

72657301 is a deficient number, since it is larger than the sum of its proper divisors (1).

72657301 is an equidigital number, since it uses as much as digits as its factorization.

72657301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 72657301 is about 8523.9252108404. The cubic root of 72657301 is about 417.2788956787.

The spelling of 72657301 in words is "seventy-two million, six hundred fifty-seven thousand, three hundred one".