7049952 has 144 divisors (see below), whose sum is σ = 24766560. Its totient is φ = 1852416.

The previous prime is 7049947. The next prime is 7049971. The reversal of 7049952 is 2599407.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26074 + ... + 26342.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 2^7049952 is an apocalyptic number.

7049952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7049952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383280).

7049952 is an abundant number, since it is smaller than the sum of its proper divisors (17716608).

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

7049952 is a wasteful number, since it uses less digits than its factorization.

7049952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 7049952 is about 2655.1745705320. The cubic root of 7049952 is about 191.7470627648.

It can be divided in two parts, 7049 and 952, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7049952 in words is "seven million, forty-nine thousand, nine hundred fifty-two".