157215072 has 96 divisors (see below), whose sum is σ = 484468992. Its totient is φ = 43697664.

The previous prime is 157215053. The next prime is 157215089. The reversal of 157215072 is 270512751.

157215072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21703 + ... + 28025.

It is an arithmetic number, because the mean of its divisors is an integer number (5046552).

Almost surely, 2^157215072 is an apocalyptic number.

157215072 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 157215072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242234496).

157215072 is an abundant number, since it is smaller than the sum of its proper divisors (327253920).

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

157215072 is a wasteful number, since it uses less digits than its factorization.

157215072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 157215072 is about 12538.5434560797. The cubic root of 157215072 is about 539.7152957379.

The spelling of 157215072 in words is "one hundred fifty-seven million, two hundred fifteen thousand, seventy-two".