73878048 has 96 divisors (see below), whose sum is σ = 221397120. Its totient is φ = 23950080.

The previous prime is 73878041. The next prime is 73878067. The reversal of 73878048 is 84087837.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 73877994 and 73878012.

It is not an unprimeable number, because it can be changed into a prime (73878041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30813 + ... + 33123.

It is an arithmetic number, because the mean of its divisors is an integer number (2306220).

Almost surely, 2^73878048 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 73878048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110698560).

73878048 is an abundant number, since it is smaller than the sum of its proper divisors (147519072).

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

73878048 is a wasteful number, since it uses less digits than its factorization.

73878048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 73878048 is about 8595.2340282275. The cubic root of 73878048 is about 419.6028899569.

The spelling of 73878048 in words is "seventy-three million, eight hundred seventy-eight thousand, forty-eight".