7952472 has 64 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 2409120.

The previous prime is 7952471. The next prime is 7952473. The reversal of 7952472 is 2742597.

It is an interprime number because it is at equal distance from previous prime (7952471) and next prime (7952473).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7952471) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 703 + ... + 4049.

It is an arithmetic number, because the mean of its divisors is an integer number (376650).

Almost surely, 2^7952472 is an apocalyptic number.

7952472 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 7952472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

7952472 is an abundant number, since it is smaller than the sum of its proper divisors (16153128).

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

7952472 is a wasteful number, since it uses less digits than its factorization.

7952472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3363 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 7952472 is about 2820.0127659286. The cubic root of 7952472 is about 199.6031463902.

The spelling of 7952472 in words is "seven million, nine hundred fifty-two thousand, four hundred seventy-two".