7148736 has 140 divisors (see below), whose sum is σ = 24341328. Its totient is φ = 2032128.

The previous prime is 7148717. The next prime is 7148737. The reversal of 7148736 is 6378417.

It is a super-2 number, since 2×7148736² = 102208852795392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7148736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7148737) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36190 + ... + 36386.

Almost surely, 2^7148736 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 7148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12170664).

7148736 is an abundant number, since it is smaller than the sum of its proper divisors (17192592).

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

7148736 is a wasteful number, since it uses less digits than its factorization.

7148736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 7148736 is about 2673.7120263783. The cubic root of 7148736 is about 192.6384993058.

The spelling of 7148736 in words is "seven million, one hundred forty-eight thousand, seven hundred thirty-six".