150642072 has 192 divisors, whose sum is σ = 499593600. Its totient is φ = 41912640.

The previous prime is 150642071. The next prime is 150642091. The reversal of 150642072 is 270246051.

150642072 is a `hidden beast` number, since 15 + 0 + 642 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150642071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454947 + ... + 455277.

It is an arithmetic number, because the mean of its divisors is an integer number (2602050).

Almost surely, 2^150642072 is an apocalyptic number.

150642072 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 150642072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249796800).

150642072 is an abundant number, since it is smaller than the sum of its proper divisors (348951528).

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

150642072 is a wasteful number, since it uses less digits than its factorization.

150642072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 150642072 is about 12273.6332029273. The cubic root of 150642072 is about 532.0863202499.

The spelling of 150642072 in words is "one hundred fifty million, six hundred forty-two thousand, seventy-two".