7651152 has 80 divisors (see below), whose sum is σ = 22320000. Its totient is φ = 2509056.

The previous prime is 7651151. The next prime is 7651153. The reversal of 7651152 is 2511567.

7651152 is a `hidden beast` number, since 7 + 651 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7651151) and next prime (7651153).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7651151) 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, 38349 + ... + 38547.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 2^7651152 is an apocalyptic number.

7651152 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 7651152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160000).

7651152 is an abundant number, since it is smaller than the sum of its proper divisors (14668848).

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

7651152 is a wasteful number, since it uses less digits than its factorization.

7651152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 7651152 is about 2766.0715825878. The cubic root of 7651152 is about 197.0496237516.

The spelling of 7651152 in words is "seven million, six hundred fifty-one thousand, one hundred fifty-two".