72986401 has 2 divisors, whose sum is σ = 72986402. Its totient is φ = 72986400.

The previous prime is 72986399. The next prime is 72986443. The reversal of 72986401 is 10468927.

72986401 = T₆₉₇₄ + T₆₉₇₅ + T₆₉₇₆.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58125376 + 14861025 = 7624^2 + 3855^2 .

It is a cyclic number.

It is not a de Polignac number, because 72986401 - 2¹ = 72986399 is a prime.

Together with 72986399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72986471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36493200 + 36493201.

It is an arithmetic number, because the mean of its divisors is an integer number (36493201).

Almost surely, 2^72986401 is an apocalyptic number.

72986401 is the 6976-th centered triangular number.

It is an amenable number.

72986401 is a deficient number, since it is larger than the sum of its proper divisors (1).

72986401 is an equidigital number, since it uses as much as digits as its factorization.

72986401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 72986401 is about 8543.2078869708. The cubic root of 72986401 is about 417.9079660476.

The spelling of 72986401 in words is "seventy-two million, nine hundred eighty-six thousand, four hundred one".