157944672 has 72 divisors (see below), whose sum is σ = 464667840. Its totient is φ = 50830080.

The previous prime is 157944653. The next prime is 157944713. The reversal of 157944672 is 276449751.

157944672 is a `hidden beast` number, since 1 + 579 + 4 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1104 + ... + 17807.

It is an arithmetic number, because the mean of its divisors is an integer number (6453720).

Almost surely, 2^157944672 is an apocalyptic number.

157944672 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 157944672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232333920).

157944672 is an abundant number, since it is smaller than the sum of its proper divisors (306723168).

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

157944672 is a wasteful number, since it uses less digits than its factorization.

157944672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18956 (or 18945 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 157944672 is about 12567.6040676017. The cubic root of 157944672 is about 540.5489068709.

The spelling of 157944672 in words is "one hundred fifty-seven million, nine hundred forty-four thousand, six hundred seventy-two".