70736400 has 270 divisors, whose sum is σ = 286264602. Its totient is φ = 16128000.

The previous prime is 70736359. The next prime is 70736437. The reversal of 70736400 is 463707.

It can be written as a sum of positive squares in 3 ways, for example, as 22127616 + 48608784 = 4704^2 + 6972^2 .

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 176200 + ... + 176600.

Almost surely, 2^70736400 is an apocalyptic number.

70736400 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 70736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143132301).

70736400 is an abundant number, since it is smaller than the sum of its proper divisors (215528202).

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

70736400 is a wasteful number, since it uses less digits than its factorization.

70736400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 70736400 is about 8410.4934456903. The cubic root of 70736400 is about 413.5686889463.

The spelling of 70736400 in words is "seventy million, seven hundred thirty-six thousand, four hundred".