73876842 has 48 divisors (see below), whose sum is σ = 172999008. Its totient is φ = 22649760.

The previous prime is 73876841. The next prime is 73876877. The reversal of 73876842 is 24867837.

It is a happy number.

Its product of digits (451584) is a multiple of the sum of its prime divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (73876841) 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 23 ways as a sum of consecutive naturals, for example, 114573 + ... + 115215.

It is an arithmetic number, because the mean of its divisors is an integer number (3604146).

Almost surely, 2^73876842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73876842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86499504).

73876842 is an abundant number, since it is smaller than the sum of its proper divisors (99122166).

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

73876842 is a wasteful number, since it uses less digits than its factorization.

73876842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1152 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 73876842 is about 8595.1638727833. The cubic root of 73876842 is about 419.6006067173.

The spelling of 73876842 in words is "seventy-three million, eight hundred seventy-six thousand, eight hundred forty-two".