157203072 has 128 divisors (see below), whose sum is σ = 499800000. Its totient is φ = 48356352.

The previous prime is 157203049. The next prime is 157203083. The reversal of 157203072 is 270302751.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43179 + ... + 46677.

Almost surely, 2^157203072 is an apocalyptic number.

157203072 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 157203072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249900000).

157203072 is an abundant number, since it is smaller than the sum of its proper divisors (342596928).

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

157203072 is a wasteful number, since it uses less digits than its factorization.

157203072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 157203072 is about 12538.0649224671. The cubic root of 157203072 is about 539.7015634915.

The spelling of 157203072 in words is "one hundred fifty-seven million, two hundred three thousand, seventy-two".