7632144 has 120 divisors (see below), whose sum is σ = 24012352. Its totient is φ = 2332800.

The previous prime is 7632143. The next prime is 7632151. The reversal of 7632144 is 4412367.

It is a super-3 number, since 3×7632144³ (a number of 22 digits) contains 333 as substring.

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 (7632143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50469 + ... + 50619.

Almost surely, 2^7632144 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 7632144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12006176).

7632144 is an abundant number, since it is smaller than the sum of its proper divisors (16380208).

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

7632144 is a wasteful number, since it uses less digits than its factorization.

7632144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 7632144 is about 2762.6335261848. The cubic root of 7632144 is about 196.8863095544.

It can be divided in two parts, 7632 and 144, that added together give a 5-th power (7776 = 6⁵).

The spelling of 7632144 in words is "seven million, six hundred thirty-two thousand, one hundred forty-four".