70072434736800 has 144 divisors (see below), whose sum is σ = 230437175576832. Its totient is φ = 18493343539200.

The previous prime is 70072434736789. The next prime is 70072434736807. The reversal of 70072434736800 is 863743427007.

It is a happy number.

It is a super-2 number, since 2×70072434736800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (70072434736807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150266416 + ... + 150732015.

It is an arithmetic number, because the mean of its divisors is an integer number (1600258163728).

Almost surely, 2^{70072434736800} is an apocalyptic number.

It is an amenable number.

70072434736800 is an abundant number, since it is smaller than the sum of its proper divisors (160364740840032).

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

70072434736800 is a wasteful number, since it uses less digits than its factorization.

70072434736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300998551 (or 300998538 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 51.

The spelling of 70072434736800 in words is "seventy trillion, seventy-two billion, four hundred thirty-four million, seven hundred thirty-six thousand, eight hundred".