36032052 has 72 divisors (see below), whose sum is σ = 98594496. Its totient is φ = 10211712.

The previous prime is 36032047. The next prime is 36032057. The reversal of 36032052 is 25023063.

It is an interprime number because it is at equal distance from previous prime (36032047) and next prime (36032057).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36032057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136873 + ... + 137135.

It is an arithmetic number, because the mean of its divisors is an integer number (1369368).

Almost surely, 2^36032052 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 36032052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49297248).

36032052 is an abundant number, since it is smaller than the sum of its proper divisors (62562444).

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

36032052 is a wasteful number, since it uses less digits than its factorization.

36032052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 36032052 is about 6002.6704057444. The cubic root of 36032052 is about 330.2906896846.

The spelling of 36032052 in words is "thirty-six million, thirty-two thousand, fifty-two", and thus it is an eban number.