73638378 has 96 divisors (see below), whose sum is σ = 183036672. Its totient is φ = 21196800.

The previous prime is 73638377. The next prime is 73638379. The reversal of 73638378 is 87383637.

73638378 is a `hidden beast` number, since 7 + 3 + 638 + 3 + 7 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (73638377) and next prime (73638379).

It is a super-2 number, since 2×73638378² = 10845221428941768, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73638377) 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 47 ways as a sum of consecutive naturals, for example, 381450 + ... + 381642.

It is an arithmetic number, because the mean of its divisors is an integer number (1906632).

Almost surely, 2^73638378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73638378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91518336).

73638378 is an abundant number, since it is smaller than the sum of its proper divisors (109398294).

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

73638378 is a wasteful number, since it uses less digits than its factorization.

73638378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 297 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 73638378 is about 8581.2806736524. The cubic root of 73638378 is about 419.1486496074.

The spelling of 73638378 in words is "seventy-three million, six hundred thirty-eight thousand, three hundred seventy-eight".