72496993 has 8 divisors (see below), whose sum is σ = 77279400. Its totient is φ = 67772160.

The previous prime is 72496987. The next prime is 72496999. The reversal of 72496993 is 39969427.

It is an interprime number because it is at equal distance from previous prime (72496987) and next prime (72496999).

It can be written as a sum of positive squares in 4 ways, for example, as 42849 + 72454144 = 207^2 + 8512^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72496993 - 2²¹ = 70399841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72496999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11778 + ... + 16843.

It is an arithmetic number, because the mean of its divisors is an integer number (9659925).

Almost surely, 2^72496993 is an apocalyptic number.

It is an amenable number.

72496993 is a deficient number, since it is larger than the sum of its proper divisors (4782407).

72496993 is a wasteful number, since it uses less digits than its factorization.

72496993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28787.

The product of its digits is 734832, while the sum is 49.

The square root of 72496993 is about 8514.5166040122. The cubic root of 72496993 is about 416.9717808560.

The spelling of 72496993 in words is "seventy-two million, four hundred ninety-six thousand, nine hundred ninety-three".