72674001 has 12 divisors (see below), whose sum is σ = 105376128. Its totient is φ = 48263544.

The previous prime is 72673987. The next prime is 72674003. The reversal of 72674001 is 10047627.

It is not a de Polignac number, because 72674001 - 2¹¹ = 72671953 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72674003) 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 11 ways as a sum of consecutive naturals, for example, 12985 + ... + 17718.

It is an arithmetic number, because the mean of its divisors is an integer number (8781344).

Almost surely, 2^72674001 is an apocalyptic number.

It is an amenable number.

72674001 is a deficient number, since it is larger than the sum of its proper divisors (32702127).

72674001 is a wasteful number, since it uses less digits than its factorization.

72674001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30972 (or 30969 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72674001 is about 8524.9047502010. The cubic root of 72674001 is about 417.3108632104.

The spelling of 72674001 in words is "seventy-two million, six hundred seventy-four thousand, one".