157242072 has 64 divisors (see below), whose sum is σ = 432391680. Its totient is φ = 47348352.

The previous prime is 157242047. The next prime is 157242077. The reversal of 157242072 is 270242751.

It is a super-3 number, since 3×157242072³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157242077) 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, 9303 + ... + 20025.

It is an arithmetic number, because the mean of its divisors is an integer number (6756120).

Almost surely, 2^157242072 is an apocalyptic number.

157242072 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 157242072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216195840).

157242072 is an abundant number, since it is smaller than the sum of its proper divisors (275149608).

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

157242072 is a wasteful number, since it uses less digits than its factorization.

157242072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10792 (or 10788 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 157242072 is about 12539.6200899389. The cubic root of 157242072 is about 539.7461907377.

The spelling of 157242072 in words is "one hundred fifty-seven million, two hundred forty-two thousand, seventy-two".