73839910225 has 9 divisors (see below), whose sum is σ = 91563173467. Its totient is φ = 59070841240.

The previous prime is 73839910219. The next prime is 73839910237. The reversal of 73839910225 is 52201993837.

The square root of 73839910225 is 271735.

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., 26582367681 + 47257542544 = 163041^2 + 217388^2 .

It is not a de Polignac number, because 73839910225 - 2⁹ = 73839909713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1331502 + ... + 1385848.

Almost surely, 2^73839910225 is an apocalyptic number.

73839910225 is the 271735-th square number.

73839910225 is the 135868-th centered octagonal number.

It is an amenable number.

73839910225 is a deficient number, since it is larger than the sum of its proper divisors (17723263242).

73839910225 is an frugal number, since it uses more digits than its factorization.

73839910225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108704 (or 54352 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 73839910225 by its sum of digits (49), we get a square (3618155601025 = 1902145²).

It can be divided in two parts, 73839 and 910225, that added together give a square (984064 = 992²).

The spelling of 73839910225 in words is "seventy-three billion, eight hundred thirty-nine million, nine hundred ten thousand, two hundred twenty-five".