73286325 has 144 divisors (see below), whose sum is σ = 165068800. Its totient is φ = 30326400.

The previous prime is 73286309. The next prime is 73286341. The reversal of 73286325 is 52368237.

73286325 is a `hidden beast` number, since 7 + 328 + 6 + 325 = 666.

It is an interprime number because it is at equal distance from previous prime (73286309) and next prime (73286341).

It is not a de Polignac number, because 73286325 - 2⁴ = 73286309 is a prime.

Its product of digits (60480) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 73286325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 927636 + ... + 927714.

Almost surely, 2^73286325 is an apocalyptic number.

73286325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73286325 is an abundant number, since it is smaller than the sum of its proper divisors (91782475).

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

73286325 is a wasteful number, since it uses less digits than its factorization.

73286325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 73286325 is about 8560.7432504427. The cubic root of 73286325 is about 418.4796219999.

The spelling of 73286325 in words is "seventy-three million, two hundred eighty-six thousand, three hundred twenty-five".