72084192 has 48 divisors (see below), whose sum is σ = 191196432. Its totient is φ = 23777280.

The previous prime is 72084179. The next prime is 72084193. The reversal of 72084192 is 29148027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×72084192² = 10392261472585728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72084193) 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 7 ways as a sum of consecutive naturals, for example, 5442 + ... + 13182.

It is an arithmetic number, because the mean of its divisors is an integer number (3983259).

Almost surely, 2^72084192 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 72084192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95598216).

72084192 is an abundant number, since it is smaller than the sum of its proper divisors (119112240).

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

72084192 is a wasteful number, since it uses less digits than its factorization.

72084192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7851 (or 7843 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 72084192 is about 8490.2409859791. The cubic root of 72084192 is about 416.1788555374.

The spelling of 72084192 in words is "seventy-two million, eighty-four thousand, one hundred ninety-two".