36357552 has 160 divisors (see below), whose sum is σ = 130229760. Its totient is φ = 9434880.

The previous prime is 36357547. The next prime is 36357557. The reversal of 36357552 is 25575363.

36357552 is a `hidden beast` number, since 36 + 3 + 575 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (36357547) and next prime (36357557).

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 (36357557) 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 31 ways as a sum of consecutive naturals, for example, 32718 + ... + 33810.

It is an arithmetic number, because the mean of its divisors is an integer number (813936).

Almost surely, 2^36357552 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 36357552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65114880).

36357552 is an abundant number, since it is smaller than the sum of its proper divisors (93872208).

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

36357552 is a wasteful number, since it uses less digits than its factorization.

36357552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1116 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 36357552 is about 6029.7223816690. The cubic root of 36357552 is about 331.2822836934.

The spelling of 36357552 in words is "thirty-six million, three hundred fifty-seven thousand, five hundred fifty-two".