147072576 has 224 divisors, whose sum is σ = 485436672. Its totient is φ = 38338560.

The previous prime is 147072547. The next prime is 147072577. The reversal of 147072576 is 675270741.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×147072576² = 43260685222551552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147072577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 936690 + ... + 936846.

It is an arithmetic number, because the mean of its divisors is an integer number (2167128).

Almost surely, 2^147072576 is an apocalyptic number.

147072576 is a gapful number since it is divisible by the number (16) 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 147072576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242718336).

147072576 is an abundant number, since it is smaller than the sum of its proper divisors (338364096).

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

147072576 is a wasteful number, since it uses less digits than its factorization.

147072576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 147072576 is about 12127.3482674491. The cubic root of 147072576 is about 527.8500492457.

The spelling of 147072576 in words is "one hundred forty-seven million, seventy-two thousand, five hundred seventy-six".