11356752 has 80 divisors (see below), whose sum is σ = 32444352. Its totient is φ = 3394560.

The previous prime is 11356747. The next prime is 11356753. The reversal of 11356752 is 25765311.

It is a super-4 number, since 4×11356752⁴ (a number of 29 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11356753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72258 + ... + 72414.

Almost surely, 2^11356752 is an apocalyptic number.

11356752 is a gapful number since it is divisible by the number (12) 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 11356752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16222176).

11356752 is an abundant number, since it is smaller than the sum of its proper divisors (21087600).

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

11356752 is a wasteful number, since it uses less digits than its factorization.

11356752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 11356752 is about 3369.9780414715. The cubic root of 11356752 is about 224.7767464539.

It can be divided in two parts, 1135 and 6752, that added together give a palindrome (7887).

The spelling of 11356752 in words is "eleven million, three hundred fifty-six thousand, seven hundred fifty-two".