36329472 has 144 divisors (see below), whose sum is σ = 110302920. Its totient is φ = 11943936.

The previous prime is 36329471. The next prime is 36329473. The reversal of 36329472 is 27492363.

It is a happy number.

36329472 is a `hidden beast` number, since 363 + 294 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (36329471) and next prime (36329473).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36329471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497628 + ... + 497700.

Almost surely, 2^36329472 is an apocalyptic number.

36329472 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 36329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55151460).

36329472 is an abundant number, since it is smaller than the sum of its proper divisors (73973448).

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

36329472 is an frugal number, since it uses more digits than its factorization.

36329472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 36329472 is about 6027.3934664994. The cubic root of 36329472 is about 331.1969753977.

The spelling of 36329472 in words is "thirty-six million, three hundred twenty-nine thousand, four hundred seventy-two".