147072 has 32 divisors (see below), whose sum is σ = 391680. Its totient is φ = 48896.

The previous prime is 147047. The next prime is 147073. The reversal of 147072 is 270741.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147073) by changing a digit.

147072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 193 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (12240).

2¹⁴⁷⁰⁷² is an apocalyptic number.

147072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 383×384.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195840).

147072 is an abundant number, since it is smaller than the sum of its proper divisors (244608).

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

147072 is an equidigital number, since it uses as much as digits as its factorization.

147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 147072 is about 383.4996740546. The cubic root of 147072 is about 52.7849360148.

The spelling of 147072 in words is "one hundred forty-seven thousand, seventy-two", and thus it is an iban number.