72032993 has 2 divisors, whose sum is σ = 72032994. Its totient is φ = 72032992.

The previous prime is 72032963. The next prime is 72033037. The reversal of 72032993 is 39923027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66961489 + 5071504 = 8183^2 + 2252^2 .

It is an emirp because it is prime and its reverse (39923027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72032993 - 2⁶ = 72032929 is a prime.

It is not a weakly prime, because it can be changed into another prime (72032903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36016496 + 36016497.

It is an arithmetic number, because the mean of its divisors is an integer number (36016497).

Almost surely, 2^72032993 is an apocalyptic number.

It is an amenable number.

72032993 is a deficient number, since it is larger than the sum of its proper divisors (1).

72032993 is an equidigital number, since it uses as much as digits as its factorization.

72032993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 72032993 is about 8487.2252827411. The cubic root of 72032993 is about 416.0802995415.

The spelling of 72032993 in words is "seventy-two million, thirty-two thousand, nine hundred ninety-three".