70585200 has 180 divisors, whose sum is σ = 280043088. Its totient is φ = 16128000.

The previous prime is 70585199. The next prime is 70585201. The reversal of 70585200 is 258507.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70585199) and next prime (70585201).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70585201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23800 + ... + 26600.

Almost surely, 2^70585200 is an apocalyptic number.

70585200 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 70585200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140021544).

70585200 is an abundant number, since it is smaller than the sum of its proper divisors (209457888).

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

70585200 is a wasteful number, since it uses less digits than its factorization.

70585200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 70585200 is about 8401.4998660953. The cubic root of 70585200 is about 413.2738092107.

It can be divided in two parts, 705 and 85200, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 70585200 in words is "seventy million, five hundred eighty-five thousand, two hundred".