36102072 has 32 divisors (see below), whose sum is σ = 90420480. Its totient is φ = 12012000.

The previous prime is 36102007. The next prime is 36102091. The reversal of 36102072 is 27020163.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17023 + ... + 19025.

It is an arithmetic number, because the mean of its divisors is an integer number (2825640).

Almost surely, 2^36102072 is an apocalyptic number.

It is a pronic number, being equal to 6008×6009.

It is an amenable number.

36102072 is an abundant number, since it is smaller than the sum of its proper divisors (54318408).

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

36102072 is a wasteful number, since it uses less digits than its factorization.

36102072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 36102072 is about 6008.4999791961. The cubic root of 36102072 is about 330.5044992266.

The spelling of 36102072 in words is "thirty-six million, one hundred two thousand, seventy-two".