7381152 has 48 divisors (see below), whose sum is σ = 21530880. Its totient is φ = 2460096.

The previous prime is 7381141. The next prime is 7381159. The reversal of 7381152 is 2511837.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (7381159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3408 + ... + 5135.

It is an arithmetic number, because the mean of its divisors is an integer number (448560).

Almost surely, 2^7381152 is an apocalyptic number.

7381152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7381152 is an abundant number, since it is smaller than the sum of its proper divisors (14149728).

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

7381152 is a wasteful number, since it uses less digits than its factorization.

7381152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8562 (or 8548 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 7381152 is about 2716.8275616977. The cubic root of 7381152 is about 194.7039293985.

Adding to 7381152 its reverse (2511837), we get a palindrome (9892989).

It can be divided in two parts, 73 and 81152, that added together give a square (81225 = 285²).

The spelling of 7381152 in words is "seven million, three hundred eighty-one thousand, one hundred fifty-two".