36053472 has 96 divisors (see below), whose sum is σ = 116508672. Its totient is φ = 9506304.

The previous prime is 36053461. The next prime is 36053477. The reversal of 36053472 is 27435063.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36053477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6673 + ... + 10799.

It is an arithmetic number, because the mean of its divisors is an integer number (1213632).

Almost surely, 2^36053472 is an apocalyptic number.

36053472 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 36053472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58254336).

36053472 is an abundant number, since it is smaller than the sum of its proper divisors (80455200).

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

36053472 is a wasteful number, since it uses less digits than its factorization.

36053472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 36053472 is about 6004.4543465664. The cubic root of 36053472 is about 330.3561261013.

The spelling of 36053472 in words is "thirty-six million, fifty-three thousand, four hundred seventy-two".