32157312 has 128 divisors (see below), whose sum is σ = 97528320. Its totient is φ = 9292800.

The previous prime is 32157311. The next prime is 32157331. The reversal of 32157312 is 21375123.

32157312 is nontrivially palindromic in base 7.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (32157311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96987 + ... + 97317.

It is an arithmetic number, because the mean of its divisors is an integer number (761940).

Almost surely, 2^32157312 is an apocalyptic number.

32157312 is a gapful number since it is divisible by the number (32) 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 32157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48764160).

32157312 is an abundant number, since it is smaller than the sum of its proper divisors (65371008).

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

32157312 is a wasteful number, since it uses less digits than its factorization.

32157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 32157312 is about 5670.7417504238. The cubic root of 32157312 is about 317.9996044455. Note that the first 3 decimals are identical.

It can be divided in two parts, 3 and 2157312, that multiplied together give a square (6471936 = 2544²).

The spelling of 32157312 in words is "thirty-two million, one hundred fifty-seven thousand, three hundred twelve".