36390672 has 30 divisors (see below), whose sum is σ = 101843742. Its totient is φ = 12130176.

The previous prime is 36390667. The next prime is 36390677. The reversal of 36390672 is 27609363.

It is an interprime number because it is at equal distance from previous prime (36390667) and next prime (36390677).

It can be written as a sum of positive squares in only one way, i.e., 32080896 + 4309776 = 5664^2 + 2076^2 .

It is a super-3 number, since 3×36390672³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36390677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126213 + ... + 126500.

Almost surely, 2^36390672 is an apocalyptic number.

It is an amenable number.

36390672 is an abundant number, since it is smaller than the sum of its proper divisors (65453070).

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

36390672 is a wasteful number, since it uses less digits than its factorization.

36390672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252727 (or 252718 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 36390672 is about 6032.4681515943. The cubic root of 36390672 is about 331.3828472961.

The spelling of 36390672 in words is "thirty-six million, three hundred ninety thousand, six hundred seventy-two".