7814000072 has 12 divisors (see below), whose sum is σ = 14651718945. Its totient is φ = 3906875024.

The previous prime is 7814000023. The next prime is 7814000093. The reversal of 7814000072 is 2700004187.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7707786436 + 106213636 = 87794^2 + 10306^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=62506.

It is a super-2 number, since 2×7814000072² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7813999999 and 7814000044.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 234398 + ... + 265650.

Almost surely, 2^7814000072 is an apocalyptic number.

It is an amenable number.

7814000072 is a deficient number, since it is larger than the sum of its proper divisors (6837718873).

7814000072 is an frugal number, since it uses more digits than its factorization.

7814000072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62512 (or 31255 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 7814000072 is about 88396.8329296927. The cubic root of 7814000072 is about 1984.3783050126.

The spelling of 7814000072 in words is "seven billion, eight hundred fourteen million, seventy-two", and thus it is an aban number.