72615601 has 2 divisors, whose sum is σ = 72615602. Its totient is φ = 72615600.

The previous prime is 72615593. The next prime is 72615637. The reversal of 72615601 is 10651627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40704400 + 31911201 = 6380^2 + 5649^2 .

It is a cyclic number.

It is not a de Polignac number, because 72615601 - 2³ = 72615593 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72615601.

It is not a weakly prime, because it can be changed into another prime (72615661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36307800 + 36307801.

It is an arithmetic number, because the mean of its divisors is an integer number (36307801).

Almost surely, 2^72615601 is an apocalyptic number.

It is an amenable number.

72615601 is a deficient number, since it is larger than the sum of its proper divisors (1).

72615601 is an equidigital number, since it uses as much as digits as its factorization.

72615601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 72615601 is about 8521.4788035880. The cubic root of 72615601 is about 417.1990511682.

The spelling of 72615601 in words is "seventy-two million, six hundred fifteen thousand, six hundred one".