36469152 has 72 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 12055680.

The previous prime is 36469123. The next prime is 36469159. The reversal of 36469152 is 25196463.

It is a happy number.

36469152 is a `hidden beast` number, since 3 + 646 + 9 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (36469159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39577 + ... + 40487.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^36469152 is an apocalyptic number.

36469152 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 36469152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

36469152 is an abundant number, since it is smaller than the sum of its proper divisors (68100768).

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

36469152 is a wasteful number, since it uses less digits than its factorization.

36469152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1055 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 36469152 is about 6038.9694485069. The cubic root of 36469152 is about 331.6208959618.

The spelling of 36469152 in words is "thirty-six million, four hundred sixty-nine thousand, one hundred fifty-two".