36260672 has 56 divisors (see below), whose sum is σ = 85100160. Its totient is φ = 14999040.

The previous prime is 36260617. The next prime is 36260723. The reversal of 36260672 is 27606263.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 11597 + ... + 14387.

Almost surely, 2^36260672 is an apocalyptic number.

36260672 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 36260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42550080).

36260672 is an abundant number, since it is smaller than the sum of its proper divisors (48839488).

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

36260672 is a wasteful number, since it uses less digits than its factorization.

36260672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 36260672 is about 6021.6834855379. The cubic root of 36260672 is about 330.9877719612.

The spelling of 36260672 in words is "thirty-six million, two hundred sixty thousand, six hundred seventy-two".