72105754 has 48 divisors (see below), whose sum is σ = 131098176. Its totient is φ = 29635200.

The previous prime is 72105751. The next prime is 72105767. The reversal of 72105754 is 45750127.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72105751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299074 + ... + 299314.

It is an arithmetic number, because the mean of its divisors is an integer number (2731212).

Almost surely, 2^72105754 is an apocalyptic number.

72105754 is a deficient number, since it is larger than the sum of its proper divisors (58992422).

72105754 is a wasteful number, since it uses less digits than its factorization.

72105754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 72105754 is about 8491.5107018716. The cubic root of 72105754 is about 416.2203475467.

The spelling of 72105754 in words is "seventy-two million, one hundred five thousand, seven hundred fifty-four".