72535793 has 16 divisors (see below), whose sum is σ = 81085056. Its totient is φ = 64333440.

The previous prime is 72535789. The next prime is 72535819. The reversal of 72535793 is 39753527.

It is not a de Polignac number, because 72535793 - 2² = 72535789 is a prime.

It is a super-2 number, since 2×72535793² = 10522882532277698, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72535793.

It is not an unprimeable number, because it can be changed into a prime (72535703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82271 + ... + 83147.

It is an arithmetic number, because the mean of its divisors is an integer number (5067816).

Almost surely, 2^72535793 is an apocalyptic number.

72535793 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

72535793 is a deficient number, since it is larger than the sum of its proper divisors (8549263).

72535793 is a wasteful number, since it uses less digits than its factorization.

72535793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064.

The product of its digits is 198450, while the sum is 41.

The square root of 72535793 is about 8516.7947609415. The cubic root of 72535793 is about 417.0461546062.

The spelling of 72535793 in words is "seventy-two million, five hundred thirty-five thousand, seven hundred ninety-three".