150072680 has 64 divisors (see below), whose sum is σ = 356043600. Its totient is φ = 56842240.

The previous prime is 150072667. The next prime is 150072691. The reversal of 150072680 is 86270051.

It can be written as a sum of positive squares in 8 ways, for example, as 48748324 + 101324356 = 6982^2 + 10066^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 60260 + ... + 62700.

Almost surely, 2^150072680 is an apocalyptic number.

150072680 is a gapful number since it is divisible by the number (10) 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 150072680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178021800).

150072680 is an abundant number, since it is smaller than the sum of its proper divisors (205970920).

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

150072680 is a wasteful number, since it uses less digits than its factorization.

150072680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 150072680 is about 12250.4155031574. The cubic root of 150072680 is about 531.4150863180.

The spelling of 150072680 in words is "one hundred fifty million, seventy-two thousand, six hundred eighty".