36070272 has 240 divisors, whose sum is σ = 126628920. Its totient is φ = 10160640.

The previous prime is 36070271. The next prime is 36070297. The reversal of 36070272 is 27207063.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36070271) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507997 + ... + 508067.

Almost surely, 2^36070272 is an apocalyptic number.

36070272 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 36070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63314460).

36070272 is an abundant number, since it is smaller than the sum of its proper divisors (90558648).

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

36070272 is an equidigital number, since it uses as much as digits as its factorization.

36070272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 36070272 is about 6005.8531450577. The cubic root of 36070272 is about 330.4074306478.

The spelling of 36070272 in words is "thirty-six million, seventy thousand, two hundred seventy-two".