272073873225 has 288 divisors, whose sum is σ = 592401762432. Its totient is φ = 108864000000.

The previous prime is 272073873221. The next prime is 272073873287. The reversal of 272073873225 is 522378370272.

It is not a de Polignac number, because 272073873225 - 2² = 272073873221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (272073873221) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 151067325 + ... + 151069125.

It is an arithmetic number, because the mean of its divisors is an integer number (2056950564).

Almost surely, 2^272073873225 is an apocalyptic number.

272073873225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

272073873225 is an abundant number, since it is smaller than the sum of its proper divisors (320327889207).

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

272073873225 is a wasteful number, since it uses less digits than its factorization.

272073873225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 272073873225 in words is "two hundred seventy-two billion, seventy-three million, eight hundred seventy-three thousand, two hundred twenty-five".