70416000 has 256 divisors, whose sum is σ = 260956800. Its totient is φ = 18662400.

The previous prime is 70415993. The next prime is 70416007. The reversal of 70416000 is 61407.

It is an interprime number because it is at equal distance from previous prime (70415993) and next prime (70416007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (70416007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431919 + ... + 432081.

Almost surely, 2^70416000 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 70416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130478400).

70416000 is an abundant number, since it is smaller than the sum of its proper divisors (190540800).

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

70416000 is a wasteful number, since it uses less digits than its factorization.

70416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 70416000 is about 8391.4241937826. The cubic root of 70416000 is about 412.9433250287.

Adding to 70416000 its reverse (61407), we get a palindrome (70477407).

It can be divided in two parts, 7041 and 6000, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 70416000 in words is "seventy million, four hundred sixteen thousand".