70632 has 40 divisors (see below), whose sum is σ = 199650. Its totient is φ = 23328.

The previous prime is 70627. The next prime is 70639. The reversal of 70632 is 23607.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 15876 = 234^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (70639) by changing a digit.

70632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 594 + ... + 702.

2⁷⁰⁶³² is an apocalyptic number.

70632 is a gapful number since it is divisible by the number (72) 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 70632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99825).

70632 is an abundant number, since it is smaller than the sum of its proper divisors (129018).

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

70632 is a wasteful number, since it uses less digits than its factorization.

70632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 70632 is about 265.7668150842. The cubic root of 70632 is about 41.3365126471.

The spelling of 70632 in words is "seventy thousand, six hundred thirty-two".