70752 has 48 divisors (see below), whose sum is σ = 205632. Its totient is φ = 21120.

The previous prime is 70729. The next prime is 70753. The reversal of 70752 is 25707.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70752.

It is not an unprimeable number, because it can be changed into a prime (70753) by changing a digit.

70752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (4284).

2⁷⁰⁷⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816).

70752 is an abundant number, since it is smaller than the sum of its proper divisors (134880).

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

70752 is a wasteful number, since it uses less digits than its factorization.

70752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 70752 is about 265.9924810967. The cubic root of 70752 is about 41.3599089124.

The spelling of 70752 in words is "seventy thousand, seven hundred fifty-two".