70152320 has 96 divisors (see below), whose sum is σ = 195175980. Its totient is φ = 24041472.

The previous prime is 70152317. The next prime is 70152367. The reversal of 70152320 is 2325107.

It can be written as a sum of positive squares in 2 ways, for example, as 69622336 + 529984 = 8344^2 + 728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 70152292 and 70152301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30242 + ... + 32478.

Almost surely, 2^70152320 is an apocalyptic number.

70152320 is a gapful number since it is divisible by the number (70) 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 70152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97587990).

70152320 is an abundant number, since it is smaller than the sum of its proper divisors (125023660).

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

70152320 is a wasteful number, since it uses less digits than its factorization.

70152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 70152320 is about 8375.6981798534. The cubic root of 70152320 is about 412.4272439787.

Adding to 70152320 its reverse (2325107), we get a palindrome (72477427).

The spelling of 70152320 in words is "seventy million, one hundred fifty-two thousand, three hundred twenty".