72165437 has 8 divisors (see below), whose sum is σ = 73677600. Its totient is φ = 70663024.

The previous prime is 72165419. The next prime is 72165451. The reversal of 72165437 is 73456127.

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 72165437 - 2¹⁶ = 72099901 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72165397 and 72165406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72165407) 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, 13598 + ... + 18144.

It is an arithmetic number, because the mean of its divisors is an integer number (9209700).

Almost surely, 2^72165437 is an apocalyptic number.

It is an amenable number.

72165437 is a deficient number, since it is larger than the sum of its proper divisors (1512163).

72165437 is a wasteful number, since it uses less digits than its factorization.

72165437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4875.

The product of its digits is 35280, while the sum is 35.

The square root of 72165437 is about 8495.0242495240. The cubic root of 72165437 is about 416.3351531248.

The spelling of 72165437 in words is "seventy-two million, one hundred sixty-five thousand, four hundred thirty-seven".