72874410263033 has 2 divisors, whose sum is σ = 72874410263034. Its totient is φ = 72874410263032.

The previous prime is 72874410263003. The next prime is 72874410263101. The reversal of 72874410263033 is 33036201447827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62777605325824 + 10096804937209 = 7923232^2 + 3177547^2 .

It is a cyclic number.

It is not a de Polignac number, because 72874410263033 - 2¹⁶ = 72874410197497 is a prime.

It is not a weakly prime, because it can be changed into another prime (72874410263003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36437205131516 + 36437205131517.

It is an arithmetic number, because the mean of its divisors is an integer number (36437205131517).

Almost surely, 2^{72874410263033} is an apocalyptic number.

It is an amenable number.

72874410263033 is a deficient number, since it is larger than the sum of its proper divisors (1).

72874410263033 is an equidigital number, since it uses as much as digits as its factorization.

72874410263033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4064256, while the sum is 50.

The spelling of 72874410263033 in words is "seventy-two trillion, eight hundred seventy-four billion, four hundred ten million, two hundred sixty-three thousand, thirty-three".