147073728 has 112 divisors (see below), whose sum is σ = 403250400. Its totient is φ = 47284224.

The previous prime is 147073723. The next prime is 147073733. The reversal of 147073728 is 827370741.

147073728 = T₄₀₇ + T₄₀₈ + ... + T₉₈₂.

It is an interprime number because it is at equal distance from previous prime (147073723) and next prime (147073733).

It is not an unprimeable number, because it can be changed into a prime (147073721) 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, 986998 + ... + 987146.

It is an arithmetic number, because the mean of its divisors is an integer number (3600450).

Almost surely, 2^147073728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201625200).

147073728 is an abundant number, since it is smaller than the sum of its proper divisors (256176672).

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

147073728 is a wasteful number, since it uses less digits than its factorization.

147073728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 147073728 is about 12127.3957633121. The cubic root of 147073728 is about 527.8514274353.

The spelling of 147073728 in words is "one hundred forty-seven million, seventy-three thousand, seven hundred twenty-eight".