72993601 has 4 divisors (see below), whose sum is σ = 73013332. Its totient is φ = 72973872.

The previous prime is 72993577. The next prime is 72993607. The reversal of 72993601 is 10639927.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10639927 = 863 ⋅12329.

It can be written as a sum of positive squares in 2 ways, for example, as 24760576 + 48233025 = 4976^2 + 6945^2 .

It is a 3-Lehmer number, since φ(72993601) divides (72993601-1)³.

It is a cyclic number.

It is not a de Polignac number, because 72993601 - 2²³ = 64604993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72993607) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2466 + ... + 12331.

It is an arithmetic number, because the mean of its divisors is an integer number (18253333).

Almost surely, 2^72993601 is an apocalyptic number.

72993601 is the 4933-rd octagonal number.

It is an amenable number.

72993601 is a deficient number, since it is larger than the sum of its proper divisors (19731).

72993601 is a wasteful number, since it uses less digits than its factorization.

72993601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19730.

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 72993601 is about 8543.6292639604. The cubic root of 72993601 is about 417.9217075957.

The spelling of 72993601 in words is "seventy-two million, nine hundred ninety-three thousand, six hundred one".