74291679225 has 81 divisors (see below), whose sum is σ = 138381120813. Its totient is φ = 39563354880.

The previous prime is 74291679193. The next prime is 74291679229. The reversal of 74291679225 is 52297619247.

The square root of 74291679225 is 272565.

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

74291679225 is a `hidden beast` number, since 74 + 291 + 67 + 9 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7274895849 + 67016783376 = 85293^2 + 258876^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 74291679225 - 2⁵ = 74291679193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (74291679229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 110388489 + ... + 110389161.

Almost surely, 2^74291679225 is an apocalyptic number.

74291679225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

74291679225 is the 272565-th square number.

74291679225 is the 136283-rd centered octagonal number.

It is an amenable number.

74291679225 is a deficient number, since it is larger than the sum of its proper divisors (64089441588).

74291679225 is an frugal number, since it uses more digits than its factorization.

74291679225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 681 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 74291679225 in words is "seventy-four billion, two hundred ninety-one million, six hundred seventy-nine thousand, two hundred twenty-five".