70920 has 48 divisors (see below), whose sum is σ = 231660. Its totient is φ = 18816.

The previous prime is 70919. The next prime is 70921. The reversal of 70920 is 2907.

It is an interprime number because it is at equal distance from previous prime (70919) and next prime (70921).

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 4356 = 258^2 + 66^2 .

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 70893 and 70902.

It is not an unprimeable number, because it can be changed into a prime (70921) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 262 + ... + 458.

2⁷⁰⁹²⁰ 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 70920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115830).

70920 is an abundant number, since it is smaller than the sum of its proper divisors (160740).

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

70920 is a wasteful number, since it uses less digits than its factorization.

70920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 70920 is about 266.3080922541. The cubic root of 70920 is about 41.3926192822.

It can be divided in two parts, 709 and 20, that added together give a 6-th power (729 = 3⁶).

The spelling of 70920 in words is "seventy thousand, nine hundred twenty".