73841625 has 192 divisors, whose sum is σ = 171714816. Its totient is φ = 31104000.

The previous prime is 73841623. The next prime is 73841629. The reversal of 73841625 is 52614837.

It is not a de Polignac number, because 73841625 - 2¹ = 73841623 is a prime.

It is a super-3 number, since 3×73841625³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73841625.

It is not an unprimeable number, because it can be changed into a prime (73841623) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4343617 + ... + 4343633.

It is an arithmetic number, because the mean of its divisors is an integer number (894348).

Almost surely, 2^73841625 is an apocalyptic number.

73841625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73841625 is an abundant number, since it is smaller than the sum of its proper divisors (97873191).

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

73841625 is a wasteful number, since it uses less digits than its factorization.

73841625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 49 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 73841625 is about 8593.1149765379. The cubic root of 73841625 is about 419.5339217551.

It can be divided in two parts, 7384 and 1625, that added together give a palindrome (9009).

The spelling of 73841625 in words is "seventy-three million, eight hundred forty-one thousand, six hundred twenty-five".