36752130 has 120 divisors (see below), whose sum is σ = 105646068. Its totient is φ = 9165312.

The previous prime is 36752119. The next prime is 36752141. The reversal of 36752130 is 3125763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36752119) and next prime (36752141).

It can be written as a sum of positive squares in 6 ways, for example, as 22667121 + 14085009 = 4761^2 + 3753^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36752094 and 36752103.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 234012 + ... + 234168.

Almost surely, 2^36752130 is an apocalyptic number.

36752130 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 36752130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52823034).

36752130 is an abundant number, since it is smaller than the sum of its proper divisors (68893938).

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

36752130 is a wasteful number, since it uses less digits than its factorization.

36752130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 36752130 is about 6062.3535033846. The cubic root of 36752130 is about 332.4764111632.

Adding to 36752130 its reverse (3125763), we get a palindrome (39877893).

The spelling of 36752130 in words is "thirty-six million, seven hundred fifty-two thousand, one hundred thirty".