36975232 has 64 divisors (see below), whose sum is σ = 87148800. Its totient is φ = 15289344.

The previous prime is 36975217. The next prime is 36975233. The reversal of 36975232 is 23257963.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 36975191 and 36975200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36975233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25273 + ... + 26695.

It is an arithmetic number, because the mean of its divisors is an integer number (1361700).

Almost surely, 2^36975232 is an apocalyptic number.

36975232 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 36975232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43574400).

36975232 is an abundant number, since it is smaller than the sum of its proper divisors (50173568).

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

36975232 is a wasteful number, since it uses less digits than its factorization.

36975232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1461 counting only the distinct ones).

The product of its digits is 68040, while the sum is 37.

The square root of 36975232 is about 6080.7262724119. The cubic root of 36975232 is about 333.1478149902.

The spelling of 36975232 in words is "thirty-six million, nine hundred seventy-five thousand, two hundred thirty-two".