7948152 has 64 divisors (see below), whose sum is σ = 22809600. Its totient is φ = 2561760.

The previous prime is 7948151. The next prime is 7948153. The reversal of 7948152 is 2518497.

It is an interprime number because it is at equal distance from previous prime (7948151) and next prime (7948153).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (7948151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6103 + ... + 7289.

It is an arithmetic number, because the mean of its divisors is an integer number (356400).

Almost surely, 2^7948152 is an apocalyptic number.

7948152 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 7948152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404800).

7948152 is an abundant number, since it is smaller than the sum of its proper divisors (14861448).

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

7948152 is a wasteful number, since it uses less digits than its factorization.

7948152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1223 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 7948152 is about 2819.2467078991. The cubic root of 7948152 is about 199.5669965499.

It can be divided in two parts, 7948 and 152, that added together give a square (8100 = 90²).

The spelling of 7948152 in words is "seven million, nine hundred forty-eight thousand, one hundred fifty-two".