73233607417225 has 48 divisors (see below), whose sum is σ = 92794881104640. Its totient is φ = 57318550344000.

The previous prime is 73233607417213. The next prime is 73233607417241. The reversal of 73233607417225 is 52271470633237.

It is not a de Polignac number, because 73233607417225 - 2¹⁷ = 73233607286153 is a prime.

It is a super-2 number, since 2×73233607417225² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396066846 + ... + 396251704.

It is an arithmetic number, because the mean of its divisors is an integer number (1933226689680).

Almost surely, 2^{73233607417225} is an apocalyptic number.

It is an amenable number.

73233607417225 is a deficient number, since it is larger than the sum of its proper divisors (19561273687415).

73233607417225 is a wasteful number, since it uses less digits than its factorization.

73233607417225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186550 (or 186545 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 52.

The spelling of 73233607417225 in words is "seventy-three trillion, two hundred thirty-three billion, six hundred seven million, four hundred seventeen thousand, two hundred twenty-five".