73007499601 has 9 divisors (see below), whose sum is σ = 77057655003. Its totient is φ = 69160136040.

The previous prime is 73007499589. The next prime is 73007499611. The reversal of 73007499601 is 10699470037.

The square root of 73007499601 is 270199.

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

It can be written as a sum of positive squares in only one way, i.e., 50018875201 + 22988624400 = 223649^2 + 151620^2 .

It is not a de Polignac number, because 73007499601 - 2⁵ = 73007499569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73007499611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5126671 + ... + 5140891.

It is an arithmetic number, because the mean of its divisors is an integer number (8561961667).

Almost surely, 2^73007499601 is an apocalyptic number.

73007499601 is the 270199-th square number.

73007499601 is the 135100-th centered octagonal number.

It is an amenable number.

73007499601 is a deficient number, since it is larger than the sum of its proper divisors (4050155402).

73007499601 is an frugal number, since it uses more digits than its factorization.

73007499601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28480 (or 14240 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The spelling of 73007499601 in words is "seventy-three billion, seven million, four hundred ninety-nine thousand, six hundred one".