72678084 has 48 divisors (see below), whose sum is σ = 176447040. Its totient is φ = 23264640.

The previous prime is 72678083. The next prime is 72678107. The reversal of 72678084 is 48087627.

It is a super-2 number, since 2×72678084² = 10564207787822112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72678083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30322 + ... + 32630.

It is an arithmetic number, because the mean of its divisors is an integer number (3675980).

Almost surely, 2^72678084 is an apocalyptic number.

It is an amenable number.

72678084 is an abundant number, since it is smaller than the sum of its proper divisors (103768956).

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

72678084 is a wasteful number, since it uses less digits than its factorization.

72678084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 72678084 is about 8525.1442216540. The cubic root of 72678084 is about 417.3186782398.

It can be divided in two parts, 7267 and 8084, that added together give a palindrome (15351).

The spelling of 72678084 in words is "seventy-two million, six hundred seventy-eight thousand, eighty-four".