36265152 has 168 divisors, whose sum is σ = 121074688. Its totient is φ = 9377280.

The previous prime is 36265093. The next prime is 36265183. The reversal of 36265152 is 25156263.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×36265152² = 2630322499166208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162513 + ... + 162735.

Almost surely, 2^36265152 is an apocalyptic number.

36265152 is a gapful number since it is divisible by the number (32) 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 36265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60537344).

36265152 is an abundant number, since it is smaller than the sum of its proper divisors (84809536).

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

36265152 is a wasteful number, since it uses less digits than its factorization.

36265152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 36265152 is about 6022.0554630458. The cubic root of 36265152 is about 331.0014025613.

Subtracting from 36265152 its reverse (25156263), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 3626 and 5152, that added together give a palindrome (8778).

The spelling of 36265152 in words is "thirty-six million, two hundred sixty-five thousand, one hundred fifty-two".