150600072 has 64 divisors (see below), whose sum is σ = 434148480. Its totient is φ = 42642432.

The previous prime is 150600053. The next prime is 150600091. The reversal of 150600072 is 270006051.

It is an interprime number because it is at equal distance from previous prime (150600053) and next prime (150600091).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 15018 + ... + 22950.

It is an arithmetic number, because the mean of its divisors is an integer number (6783570).

Almost surely, 2^150600072 is an apocalyptic number.

150600072 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 150600072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217074240).

150600072 is an abundant number, since it is smaller than the sum of its proper divisors (283548408).

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

150600072 is a wasteful number, since it uses less digits than its factorization.

150600072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8062 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 150600072 is about 12271.9220988401. The cubic root of 150600072 is about 532.0368659323.

The spelling of 150600072 in words is "one hundred fifty million, six hundred thousand, seventy-two".