73034522001 has 81 divisors (see below), whose sum is σ = 130533633009. Its totient is φ = 39227182848.

The previous prime is 73034521993. The next prime is 73034522053. The reversal of 73034522001 is 10022543037.

The square root of 73034522001 is 270249.

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

73034522001 is a `hidden beast` number, since 7 + 3 + 0 + 3 + 452 + 200 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11837657601 + 61196864400 = 108801^2 + 247380^2 .

It is not a de Polignac number, because 73034522001 - 2³ = 73034521993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73034522401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 96478515 + ... + 96479271.

Almost surely, 2^73034522001 is an apocalyptic number.

73034522001 is the 270249-th square number.

73034522001 is the 135125-th centered octagonal number.

It is an amenable number.

73034522001 is a deficient number, since it is larger than the sum of its proper divisors (57499111008).

73034522001 is an equidigital number, since it uses as much as digits as its factorization.

73034522001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 73034522001 in words is "seventy-three billion, thirty-four million, five hundred twenty-two thousand, one".