70407072 has 72 divisors (see below), whose sum is σ = 201670560. Its totient is φ = 23299200.

The previous prime is 70407067. The next prime is 70407089. The reversal of 70407072 is 27070407.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×70407072² = 9914311575226368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42679 + ... + 44297.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^70407072 is an apocalyptic number.

70407072 is a gapful number since it is divisible by the number (72) 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 70407072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

70407072 is an abundant number, since it is smaller than the sum of its proper divisors (131263488).

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

70407072 is a wasteful number, since it uses less digits than its factorization.

70407072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 70407072 is about 8390.8922052425. The cubic root of 70407072 is about 412.9258720169.

Adding to 70407072 its reverse (27070407), we get a palindrome (97477479).

The spelling of 70407072 in words is "seventy million, four hundred seven thousand, seventy-two".