74209932225 has 243 divisors, whose sum is σ = 159458686569. Its totient is φ = 32951318400.

The previous prime is 74209932163. The next prime is 74209932229. The reversal of 74209932225 is 52223990247.

The square root of 74209932225 is 272415.

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 19127719809 + 55082212416 = 138303^2 + 234696^2 .

It is not a de Polignac number, because 74209932225 - 2¹⁷ = 74209801153 is a prime.

It is a super-2 number, since 2×74209932225² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74209932229) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 584330112 + ... + 584330238.

Almost surely, 2^74209932225 is an apocalyptic number.

74209932225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

74209932225 is the 272415-th square number.

74209932225 is the 136208-th centered octagonal number.

It is an amenable number.

74209932225 is an abundant number, since it is smaller than the sum of its proper divisors (85248754344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74209932225 is a wasteful number, since it uses less digits than its factorization.

74209932225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 74209932225 in words is "seventy-four billion, two hundred nine million, nine hundred thirty-two thousand, two hundred twenty-five".