72878256 has 120 divisors (see below), whose sum is σ = 224777280. Its totient is φ = 21859200.

The previous prime is 72878251. The next prime is 72878257. The reversal of 72878256 is 65287827.

It is a super-2 number, since 2×72878256² = 10622480395203072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72878251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220011 + ... + 220341.

It is an arithmetic number, because the mean of its divisors is an integer number (1873144).

Almost surely, 2^72878256 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 72878256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112388640).

72878256 is an abundant number, since it is smaller than the sum of its proper divisors (151899024).

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

72878256 is a wasteful number, since it uses less digits than its factorization.

72878256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 72878256 is about 8536.8762436854. The cubic root of 72878256 is about 417.7014572705.

The spelling of 72878256 in words is "seventy-two million, eight hundred seventy-eight thousand, two hundred fifty-six".