36147072 has 96 divisors (see below), whose sum is σ = 104156280. Its totient is φ = 11102208.

The previous prime is 36147037. The next prime is 36147107. The reversal of 36147072 is 27074163.

It is an interprime number because it is at equal distance from previous prime (36147037) and next prime (36147107).

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

It is a super-2 number, since 2×36147072² = 2613221628346368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64618 + ... + 65174.

Almost surely, 2^36147072 is an apocalyptic number.

36147072 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 36147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52078140).

36147072 is an abundant number, since it is smaller than the sum of its proper divisors (68009208).

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

36147072 is a wasteful number, since it uses less digits than its factorization.

36147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 36147072 is about 6012.2435080426. The cubic root of 36147072 is about 330.6417630684.

The spelling of 36147072 in words is "thirty-six million, one hundred forty-seven thousand, seventy-two".