72886352 has 80 divisors (see below), whose sum is σ = 178893312. Its totient is φ = 27941760.

The previous prime is 72886351. The next prime is 72886403. The reversal of 72886352 is 25368827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72886351) 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, 82103 + ... + 82985.

Almost surely, 2^72886352 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 72886352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89446656).

72886352 is an abundant number, since it is smaller than the sum of its proper divisors (106006960).

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

72886352 is a wasteful number, since it uses less digits than its factorization.

72886352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 72886352 is about 8537.3504086455. The cubic root of 72886352 is about 417.7169240959.

The spelling of 72886352 in words is "seventy-two million, eight hundred eighty-six thousand, three hundred fifty-two".