72400817476 has 81 divisors (see below), whose sum is σ = 140024896893. Its totient is φ = 32740924320.

The previous prime is 72400817473. The next prime is 72400817501. The reversal of 72400817476 is 67471800427.

The square root of 72400817476 is 269074.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10710180100 + 61690637376 = 103490^2 + 248376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72400817473) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 552677931 + ... + 552678061.

Almost surely, 2^72400817476 is an apocalyptic number.

72400817476 is the 269074-th square number.

It is an amenable number.

72400817476 is a deficient number, since it is larger than the sum of its proper divisors (67624079417).

72400817476 is a wasteful number, since it uses less digits than its factorization.

72400817476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 46.

The spelling of 72400817476 in words is "seventy-two billion, four hundred million, eight hundred seventeen thousand, four hundred seventy-six".