73891840 has 128 divisors (see below), whose sum is σ = 198177840. Its totient is φ = 26214400.

The previous prime is 73891837. The next prime is 73891861. The reversal of 73891840 is 4819837.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 73891793 and 73891802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1802220 + ... + 1802260.

Almost surely, 2^73891840 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 73891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99088920).

73891840 is an abundant number, since it is smaller than the sum of its proper divisors (124286000).

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

73891840 is an equidigital number, since it uses as much as digits as its factorization.

73891840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 73891840 is about 8596.0362958750. The cubic root of 73891840 is about 419.6289996657.

It can be divided in two parts, 7389 and 1840, that added together give a palindrome (9229).

The spelling of 73891840 in words is "seventy-three million, eight hundred ninety-one thousand, eight hundred forty".