72672045 has 16 divisors (see below), whose sum is σ = 118182912. Its totient is φ = 38122560.

The previous prime is 72672037. The next prime is 72672071. The reversal of 72672045 is 54027627.

It is not a de Polignac number, because 72672045 - 2³ = 72672037 is a prime.

It is a super-2 number, since 2×72672045² = 10562452248964050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72671997 and 72672015.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38797 + ... + 40626.

It is an arithmetic number, because the mean of its divisors is an integer number (7386432).

Almost surely, 2^72672045 is an apocalyptic number.

It is an amenable number.

72672045 is a deficient number, since it is larger than the sum of its proper divisors (45510867).

72672045 is a wasteful number, since it uses less digits than its factorization.

72672045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79492.

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 72672045 is about 8524.7900267397. The cubic root of 72672045 is about 417.3071192426.

It can be divided in two parts, 726 and 72045, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 72672045 in words is "seventy-two million, six hundred seventy-two thousand, forty-five".