2472192 has 108 divisors (see below), whose sum is σ = 7573020. Its totient is φ = 774144.

The previous prime is 2472181. The next prime is 2472193. The reversal of 2472192 is 2912742.

2472192 is a `hidden beast` number, since 2 + 472 + 192 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 665856 = 1344^2 + 816^2 .

It is a super-2 number, since 2×2472192² = 12223466569728, which contains 22 as substring.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66798 + ... + 66834.

2^2472192 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 2472192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786510).

2472192 is an abundant number, since it is smaller than the sum of its proper divisors (5100828).

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

2472192 is a wasteful number, since it uses less digits than its factorization.

2472192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2472192 is about 1572.3205779993. The cubic root of 2472192 is about 135.2157865861.

The spelling of 2472192 in words is "two million, four hundred seventy-two thousand, one hundred ninety-two".