72302953 has 2 divisors, whose sum is σ = 72302954. Its totient is φ = 72302952.

The previous prime is 72302939. The next prime is 72302963. The reversal of 72302953 is 35920327.

72302953 is nontrivially palindromic in base 14.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68757264 + 3545689 = 8292^2 + 1883^2 .

It is a cyclic number.

It is not a de Polignac number, because 72302953 - 2¹⁷ = 72171881 is a prime.

It is not a weakly prime, because it can be changed into another prime (72302963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36151476 + 36151477.

It is an arithmetic number, because the mean of its divisors is an integer number (36151477).

Almost surely, 2^72302953 is an apocalyptic number.

It is an amenable number.

72302953 is a deficient number, since it is larger than the sum of its proper divisors (1).

72302953 is an equidigital number, since it uses as much as digits as its factorization.

72302953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 72302953 is about 8503.1143118272. The cubic root of 72302953 is about 416.5994366907.

The spelling of 72302953 in words is "seventy-two million, three hundred two thousand, nine hundred fifty-three".