70121600 has 96 divisors (see below), whose sum is σ = 183554100. Its totient is φ = 26378240.

The previous prime is 70121599. The next prime is 70121627. The reversal of 70121600 is 612107.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 47004736 + 23116864 = 6856^2 + 4808^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 11 ways as a sum of consecutive naturals, for example, 53756 + ... + 55044.

Almost surely, 2^70121600 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 70121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91777050).

70121600 is an abundant number, since it is smaller than the sum of its proper divisors (113432500).

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

70121600 is a wasteful number, since it uses less digits than its factorization.

70121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 70121600 is about 8373.8641020738. The cubic root of 70121600 is about 412.3670339730.

Adding to 70121600 its reverse (612107), we get a palindrome (70733707).

The spelling of 70121600 in words is "seventy million, one hundred twenty-one thousand, six hundred".