72672601 has 8 divisors (see below), whose sum is σ = 74037600. Its totient is φ = 71312160.

The previous prime is 72672563. The next prime is 72672641. The reversal of 72672601 is 10627627.

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 72672601 - 2¹⁷ = 72541529 is a prime.

It is a super-2 number, since 2×72672601² = 10562613872210402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72672641) 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 7 ways as a sum of consecutive naturals, for example, 63805 + ... + 64933.

It is an arithmetic number, because the mean of its divisors is an integer number (9254700).

Almost surely, 2^72672601 is an apocalyptic number.

It is an amenable number.

72672601 is a deficient number, since it is larger than the sum of its proper divisors (1364999).

72672601 is a wasteful number, since it uses less digits than its factorization.

72672601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 72672601 is about 8524.8226374512. The cubic root of 72672601 is about 417.3081834857.

The spelling of 72672601 in words is "seventy-two million, six hundred seventy-two thousand, six hundred one".