74255705001 has 9 divisors (see below), whose sum is σ = 107259421399. Its totient is φ = 49503258336.

The previous prime is 74255704993. The next prime is 74255705003. The reversal of 74255705001 is 10050755247.

The square root of 74255705001 is 272499.

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., 49157541225 + 25098163776 = 221715^2 + 158424^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 74255705001 - 2³ = 74255704993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74255705003) 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, 772081 + ... + 862913.

Almost surely, 2^74255705001 is an apocalyptic number.

74255705001 is the 272499-th square number.

74255705001 is the 136250-th centered octagonal number.

It is an amenable number.

74255705001 is a deficient number, since it is larger than the sum of its proper divisors (33003716398).

74255705001 is an frugal number, since it uses more digits than its factorization.

74255705001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181672 (or 90836 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

Multiplying 74255705001 by its sum of digits (36), we get a square (2673205380036 = 1634994²).

The spelling of 74255705001 in words is "seventy-four billion, two hundred fifty-five million, seven hundred five thousand, one".