2072952 has 80 divisors (see below), whose sum is σ = 6650160. Its totient is φ = 590976.

The previous prime is 2072933. The next prime is 2072953. The reversal of 2072952 is 2592702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4308 + ... + 4764.

It is an arithmetic number, because the mean of its divisors is an integer number (83127).

2^2072952 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 2072952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325080).

2072952 is an abundant number, since it is smaller than the sum of its proper divisors (4577208).

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

2072952 is a wasteful number, since it uses less digits than its factorization.

2072952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2072952 is about 1439.7749824191. The cubic root of 2072952 is about 127.5057436859.

The spelling of 2072952 in words is "two million, seventy-two thousand, nine hundred fifty-two".