157047072 has 96 divisors (see below), whose sum is σ = 507411072. Its totient is φ = 41416704.

The previous prime is 157047053. The next prime is 157047113. The reversal of 157047072 is 270740751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 253 + ... + 17724.

It is an arithmetic number, because the mean of its divisors is an integer number (5285532).

Almost surely, 2^157047072 is an apocalyptic number.

157047072 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 157047072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253705536).

157047072 is an abundant number, since it is smaller than the sum of its proper divisors (350364000).

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

157047072 is a wasteful number, since it uses less digits than its factorization.

157047072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18010 (or 18002 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 157047072 is about 12531.8423226595. The cubic root of 157047072 is about 539.5229806604.

The spelling of 157047072 in words is "one hundred fifty-seven million, forty-seven thousand, seventy-two".