70956000 has 288 divisors, whose sum is σ = 264727008. Its totient is φ = 18662400.

The previous prime is 70955987. The next prime is 70956023. The reversal of 70956000 is 65907.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971964 + ... + 972036.

It is an arithmetic number, because the mean of its divisors is an integer number (919191).

Almost surely, 2^70956000 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 70956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132363504).

70956000 is an abundant number, since it is smaller than the sum of its proper divisors (193771008).

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

70956000 is an equidigital number, since it uses as much as digits as its factorization.

70956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 70956000 is about 8423.5384488943. The cubic root of 70956000 is about 413.9962192471.

The spelling of 70956000 in words is "seventy million, nine hundred fifty-six thousand".