7408008072 has 48 divisors (see below), whose sum is σ = 20131888140. Its totient is φ = 2460901248.

The previous prime is 7408008019. The next prime is 7408008089. The reversal of 7408008072 is 2708008047.

It can be written as a sum of positive squares in 2 ways, for example, as 7209028836 + 198979236 = 84906^2 + 14106^2 .

It is a super-3 number, since 3×7408008072³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154483 + ... + 196674.

Almost surely, 2^7408008072 is an apocalyptic number.

7408008072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7408008072 is an abundant number, since it is smaller than the sum of its proper divisors (12723880068).

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

7408008072 is a wasteful number, since it uses less digits than its factorization.

7408008072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351462 (or 351455 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7408008072 is about 86069.7860575940. The cubic root of 7408008072 is about 1949.3978480021.

The spelling of 7408008072 in words is "seven billion, four hundred eight million, eight thousand, seventy-two".