150780072 has 64 divisors (see below), whose sum is σ = 403185600. Its totient is φ = 46822400.

The previous prime is 150780061. The next prime is 150780079. The reversal of 150780072 is 270087051.

It is a happy number.

150780072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150780072² = 45469260224650368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150780079) 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, 39379 + ... + 43037.

It is an arithmetic number, because the mean of its divisors is an integer number (6299775).

Almost surely, 2^150780072 is an apocalyptic number.

150780072 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 150780072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201592800).

150780072 is an abundant number, since it is smaller than the sum of its proper divisors (252405528).

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

150780072 is a wasteful number, since it uses less digits than its factorization.

150780072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 150780072 is about 12279.2537232521. The cubic root of 150780072 is about 532.2487483169.

The spelling of 150780072 in words is "one hundred fifty million, seven hundred eighty thousand, seventy-two".