150073728 has 128 divisors (see below), whose sum is σ = 470538240. Its totient is φ = 41472000.

The previous prime is 150073709. The next prime is 150073733. The reversal of 150073728 is 827370051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82428 + ... + 84228.

It is an arithmetic number, because the mean of its divisors is an integer number (3676080).

Almost surely, 2^150073728 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 150073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235269120).

150073728 is an abundant number, since it is smaller than the sum of its proper divisors (320464512).

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

150073728 is a wasteful number, since it uses less digits than its factorization.

150073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 150073728 is about 12250.4582771421. The cubic root of 150073728 is about 531.4163233224.

It can be divided in two parts, 1500 and 73728, that multiplied together give a cube (110592000 = 480³).

The spelling of 150073728 in words is "one hundred fifty million, seventy-three thousand, seven hundred twenty-eight".