36752352 has 144 divisors (see below), whose sum is σ = 121059792. Its totient is φ = 9676800.

The previous prime is 36752347. The next prime is 36752371. The reversal of 36752352 is 25325763.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 60852 + ... + 61452.

It is an arithmetic number, because the mean of its divisors is an integer number (840693).

Almost surely, 2^36752352 is an apocalyptic number.

36752352 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 36752352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60529896).

36752352 is an abundant number, since it is smaller than the sum of its proper divisors (84307440).

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

36752352 is a wasteful number, since it uses less digits than its factorization.

36752352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 626 counting only the distinct ones).

The product of its digits is 37800, while the sum is 33.

The square root of 36752352 is about 6062.3718130778. The cubic root of 36752352 is about 332.4770805993.

It can be divided in two parts, 3675 and 2352, that multiplied together give a square (8643600 = 2940²).

The spelling of 36752352 in words is "thirty-six million, seven hundred fifty-two thousand, three hundred fifty-two".