72878352 has 80 divisors (see below), whose sum is σ = 197987328. Its totient is φ = 23056000.

The previous prime is 72878327. The next prime is 72878353. The reversal of 72878352 is 25387827.

It is a super-2 number, since 2×72878352² = 10622508380471808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72878353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276973 + ... + 277235.

Almost surely, 2^72878352 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 72878352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

72878352 is an abundant number, since it is smaller than the sum of its proper divisors (125108976).

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

72878352 is a wasteful number, since it uses less digits than its factorization.

72878352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 72878352 is about 8536.8818663491. The cubic root of 72878352 is about 417.7016406783.

The spelling of 72878352 in words is "seventy-two million, eight hundred seventy-eight thousand, three hundred fifty-two".