36764672 has 88 divisors (see below), whose sum is σ = 88037376. Its totient is φ = 15003648.

The previous prime is 36764657. The next prime is 36764701. The reversal of 36764672 is 27646763.

It is a super-2 number, since 2×36764672² = 2703282214535168, which contains 22 as substring.

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, 164753 + ... + 164975.

Almost surely, 2^36764672 is an apocalyptic number.

36764672 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 36764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44018688).

36764672 is an abundant number, since it is smaller than the sum of its proper divisors (51272704).

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

36764672 is a wasteful number, since it uses less digits than its factorization.

36764672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its digits is 254016, while the sum is 41.

The square root of 36764672 is about 6063.3878318973. The cubic root of 36764672 is about 332.5142270657.

The spelling of 36764672 in words is "thirty-six million, seven hundred sixty-four thousand, six hundred seventy-two".