72874410295801 has 27 divisors (see below), whose sum is σ = 76004201875053. Its totient is φ = 69872146968960.

The previous prime is 72874410295763. The next prime is 72874410295823. The reversal of 72874410295801 is 10859201447827.

The square root of 72874410295801 is 8536651.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 54120313935801 + 18754096360000 = 7356651^2 + 4330600^2 .

It is not a de Polignac number, because 72874410295801 - 2¹⁵ = 72874410263033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72874410295831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20650157005 + ... + 20650160533.

Almost surely, 2^{72874410295801} is an apocalyptic number.

72874410295801 is the 8536651-st square number.

72874410295801 is the 4268326-th centered octagonal number.

It is an amenable number.

72874410295801 is a deficient number, since it is larger than the sum of its proper divisors (3129791579252).

72874410295801 is an frugal number, since it uses more digits than its factorization.

72874410295801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 58.

The spelling of 72874410295801 in words is "seventy-two trillion, eight hundred seventy-four billion, four hundred ten million, two hundred ninety-five thousand, eight hundred one".