7148352 has 56 divisors (see below), whose sum is σ = 19539712. Its totient is φ = 2304000.

The previous prime is 7148341. The next prime is 7148357. The reversal of 7148352 is 2538417.

It is a super-4 number, since 4×7148352⁴ (a number of 29 digits) contains 4444 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 7⁶ + 1 + 4⁷ + 8⁷ + 3¹⁴ + 5⁵ + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7148357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5352 + ... + 6552.

Almost surely, 2^7148352 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 7148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9769856).

7148352 is an abundant number, since it is smaller than the sum of its proper divisors (12391360).

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

7148352 is a wasteful number, since it uses less digits than its factorization.

7148352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1237 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 7148352 is about 2673.6402151374. The cubic root of 7148352 is about 192.6350500010.

The spelling of 7148352 in words is "seven million, one hundred forty-eight thousand, three hundred fifty-two".