73378872 has 120 divisors (see below), whose sum is σ = 239187960. Its totient is φ = 20956320.

The previous prime is 73378859. The next prime is 73378873. The reversal of 73378872 is 27887337.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73378873) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30597 + ... + 32907.

It is an arithmetic number, because the mean of its divisors is an integer number (1993233).

Almost surely, 2^73378872 is an apocalyptic number.

73378872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73378872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119593980).

73378872 is an abundant number, since it is smaller than the sum of its proper divisors (165809088).

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

73378872 is a wasteful number, since it uses less digits than its factorization.

73378872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2323 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 73378872 is about 8566.1468584189. The cubic root of 73378872 is about 418.6557018824.

The spelling of 73378872 in words is "seventy-three million, three hundred seventy-eight thousand, eight hundred seventy-two".