70403200 has 144 divisors (see below), whose sum is σ = 202763250. Its totient is φ = 24084480.

The previous prime is 70403197. The next prime is 70403233. The reversal of 70403200 is 230407.

It can be written as a sum of positive squares in 3 ways, for example, as 55472704 + 14930496 = 7448^2 + 3864^2 .

It is a super-2 number, since 2×70403200² = 9913221140480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156576 + ... + 157024.

Almost surely, 2^70403200 is an apocalyptic number.

70403200 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 70403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101381625).

70403200 is an abundant number, since it is smaller than the sum of its proper divisors (132360050).

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

70403200 is a wasteful number, since it uses less digits than its factorization.

70403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 70403200 is about 8390.6614757122. The cubic root of 70403200 is about 412.9183023309.

Adding to 70403200 its reverse (230407), we get a palindrome (70633607).

The spelling of 70403200 in words is "seventy million, four hundred three thousand, two hundred".