150763272 has 64 divisors (see below), whose sum is σ = 413674560. Its totient is φ = 45408000.

The previous prime is 150763267. The next prime is 150763279. The reversal of 150763272 is 272367051.

150763272 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (150763279) 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, 44022 + ... + 47322.

It is an arithmetic number, because the mean of its divisors is an integer number (6463665).

Almost surely, 2^150763272 is an apocalyptic number.

150763272 is a gapful number since it is divisible by the number (12) 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 150763272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206837280).

150763272 is an abundant number, since it is smaller than the sum of its proper divisors (262911288).

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

150763272 is a wasteful number, since it uses less digits than its factorization.

150763272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 150763272 is about 12278.5696235351. The cubic root of 150763272 is about 532.2289797649.

The spelling of 150763272 in words is "one hundred fifty million, seven hundred sixty-three thousand, two hundred seventy-two".