72167805 has 48 divisors (see below), whose sum is σ = 137058480. Its totient is φ = 34965504.

The previous prime is 72167791. The next prime is 72167807. The reversal of 72167805 is 50876127.

It can be written as a sum of positive squares in 8 ways, for example, as 13461561 + 58706244 = 3669^2 + 7662^2 .

It is not a de Polignac number, because 72167805 - 2⁵ = 72167773 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72167805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72167807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20559 + ... + 23811.

It is an arithmetic number, because the mean of its divisors is an integer number (2855385).

Almost surely, 2^72167805 is an apocalyptic number.

It is an amenable number.

72167805 is a deficient number, since it is larger than the sum of its proper divisors (64890675).

72167805 is a wasteful number, since it uses less digits than its factorization.

72167805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 72167805 is about 8495.1636240864. The cubic root of 72167805 is about 416.3397068784.

The spelling of 72167805 in words is "seventy-two million, one hundred sixty-seven thousand, eight hundred five".