2792352 has 96 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 831488.

The previous prime is 2792351. The next prime is 2792357. The reversal of 2792352 is 2532972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 2 + 7⁷ + 9⁴ + 2⁹ + 3⁸ + 5⁹ + 2¹¹ .

It is not an unprimeable number, because it can be changed into a prime (2792351) 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, 47299 + ... + 47357.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

2^2792352 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 2792352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

2792352 is an abundant number, since it is smaller than the sum of its proper divisors (5372448).

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

2792352 is a wasteful number, since it uses less digits than its factorization.

2792352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 2792352 is about 1671.0332133144. The cubic root of 2792352 is about 140.8175296701.

The spelling of 2792352 in words is "two million, seven hundred ninety-two thousand, three hundred fifty-two".