73890144 has 120 divisors (see below), whose sum is σ = 225030960. Its totient is φ = 23756544.

The previous prime is 73890137. The next prime is 73890149. The reversal of 73890144 is 44109837.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73890099 and 73890108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73890149) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 74677 + ... + 75659.

It is an arithmetic number, because the mean of its divisors is an integer number (1875258).

Almost surely, 2^73890144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73890144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112515480).

73890144 is an abundant number, since it is smaller than the sum of its proper divisors (151140816).

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

73890144 is a wasteful number, since it uses less digits than its factorization.

73890144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 73890144 is about 8595.9376451903. The cubic root of 73890144 is about 419.6257891343.

The spelling of 73890144 in words is "seventy-three million, eight hundred ninety thousand, one hundred forty-four".