72886848 has 112 divisors (see below), whose sum is σ = 202777344. Its totient is φ = 23080960.

The previous prime is 72886843. The next prime is 72886861. The reversal of 72886848 is 84868827.

It is a super-2 number, since 2×72886848² = 10624985222750208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72886848.

It is not an unprimeable number, because it can be changed into a prime (72886843) 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, 369886 + ... + 370082.

It is an arithmetic number, because the mean of its divisors is an integer number (1810512).

Almost surely, 2^72886848 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 72886848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388672).

72886848 is an abundant number, since it is smaller than the sum of its proper divisors (129890496).

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

72886848 is a wasteful number, since it uses less digits than its factorization.

72886848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 72886848 is about 8537.3794574213. The cubic root of 72886848 is about 417.7178716310.

The spelling of 72886848 in words is "seventy-two million, eight hundred eighty-six thousand, eight hundred forty-eight".