36752430 has 96 divisors (see below), whose sum is σ = 104353920. Its totient is φ = 8211840.

The previous prime is 36752399. The next prime is 36752431. The reversal of 36752430 is 3425763.

It is a super-2 number, since 2×36752430² = 2701482221809800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36752431) 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 47 ways as a sum of consecutive naturals, for example, 55441 + ... + 56099.

It is an arithmetic number, because the mean of its divisors is an integer number (1087020).

Almost surely, 2^36752430 is an apocalyptic number.

36752430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36752430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52176960).

36752430 is an abundant number, since it is smaller than the sum of its proper divisors (67601490).

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

36752430 is a wasteful number, since it uses less digits than its factorization.

36752430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 36752430 is about 6062.3782462001. The cubic root of 36752430 is about 332.4773158060.

It can be divided in two parts, 3675 and 2430, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 36752430 in words is "thirty-six million, seven hundred fifty-two thousand, four hundred thirty".