72303404477753 has 2 divisors, whose sum is σ = 72303404477754. Its totient is φ = 72303404477752.

The previous prime is 72303404477729. The next prime is 72303404477791. The reversal of 72303404477753 is 35777440430327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71010755996944 + 1292648480809 = 8426788^2 + 1136947^2 .

It is a cyclic number.

It is not a de Polignac number, because 72303404477753 - 2¹⁰ = 72303404476729 is a prime.

It is not a weakly prime, because it can be changed into another prime (72303404479753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36151702238876 + 36151702238877.

It is an arithmetic number, because the mean of its divisors is an integer number (36151702238877).

Almost surely, 2^{72303404477753} is an apocalyptic number.

It is an amenable number.

72303404477753 is a deficient number, since it is larger than the sum of its proper divisors (1).

72303404477753 is an equidigital number, since it uses as much as digits as its factorization.

72303404477753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41489280, while the sum is 56.

The spelling of 72303404477753 in words is "seventy-two trillion, three hundred three billion, four hundred four million, four hundred seventy-seven thousand, seven hundred fifty-three".