157509072 has 60 divisors (see below), whose sum is σ = 503782240. Its totient is φ = 45002304.

The previous prime is 157509071. The next prime is 157509119. The reversal of 157509072 is 270905751.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157509071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77122 + ... + 79137.

Almost surely, 2^157509072 is an apocalyptic number.

157509072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157509072 is an abundant number, since it is smaller than the sum of its proper divisors (346273168).

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

157509072 is a wasteful number, since it uses less digits than its factorization.

157509072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156280 (or 156271 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 157509072 is about 12550.2618299381. The cubic root of 157509072 is about 540.0515177186.

The spelling of 157509072 in words is "one hundred fifty-seven million, five hundred nine thousand, seventy-two".