72361033 has 4 divisors (see below), whose sum is σ = 72379780. Its totient is φ = 72342288.

The previous prime is 72361007. The next prime is 72361043. The reversal of 72361033 is 33016327.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33016327 = 67 ⋅492781.

It can be written as a sum of positive squares in 2 ways, for example, as 14722569 + 57638464 = 3837^2 + 7592^2 .

It is a cyclic number.

It is not a de Polignac number, because 72361033 - 2⁹ = 72360521 is a prime.

It is a super-2 number, since 2×72361033² = 10472238193654178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72360989 and 72361007.

It is not an unprimeable number, because it can be changed into a prime (72361043) 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, 1218 + ... + 12091.

It is an arithmetic number, because the mean of its divisors is an integer number (18094945).

Almost surely, 2^72361033 is an apocalyptic number.

It is an amenable number.

72361033 is a deficient number, since it is larger than the sum of its proper divisors (18747).

72361033 is a wasteful number, since it uses less digits than its factorization.

72361033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18746.

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 72361033 is about 8506.5288455398. The cubic root of 72361033 is about 416.7109564298.

The spelling of 72361033 in words is "seventy-two million, three hundred sixty-one thousand, thirty-three".