73911825 has 48 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 36383040.

The previous prime is 73911793. The next prime is 73911833. The reversal of 73911825 is 52811937.

It is not a de Polignac number, because 73911825 - 2⁵ = 73911793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73911825.

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 47 ways as a sum of consecutive naturals, for example, 4564 + ... + 12986.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^73911825 is an apocalyptic number.

73911825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73911825 is a deficient number, since it is larger than the sum of its proper divisors (72328815).

73911825 is a wasteful number, since it uses less digits than its factorization.

73911825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455 (or 8444 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 73911825 is about 8597.1986716604. The cubic root of 73911825 is about 419.6668276118. Note that the first 3 decimals are identical.

It can be divided in two parts, 7391 and 1825, that added together give a square (9216 = 96²).

The spelling of 73911825 in words is "seventy-three million, nine hundred eleven thousand, eight hundred twenty-five".