157521672 has 360 divisors, whose sum is σ = 577899630. Its totient is φ = 39916800.

The previous prime is 157521629. The next prime is 157521701. The reversal of 157521672 is 276125751.

157521672 is a `hidden beast` number, since 1 + 575 + 2 + 16 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 155600676 + 1920996 = 12474^2 + 1386^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3841972 + ... + 3842012.

Almost surely, 2^157521672 is an apocalyptic number.

157521672 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 157521672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288949815).

157521672 is an abundant number, since it is smaller than the sum of its proper divisors (420377958).

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

157521672 is a wasteful number, since it uses less digits than its factorization.

157521672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 157521672 is about 12550.7638014585. The cubic root of 157521672 is about 540.0659178790.

It can be divided in two parts, 15752 and 1672, that added together give a square (17424 = 132²).

The spelling of 157521672 in words is "one hundred fifty-seven million, five hundred twenty-one thousand, six hundred seventy-two".