72634001 has 14 divisors (see below), whose sum is σ = 81846114. Its totient is φ = 64420400.

The previous prime is 72633983. The next prime is 72634019. The reversal of 72634001 is 10043627.

It is an interprime number because it is at equal distance from previous prime (72633983) and next prime (72634019).

It can be written as a sum of positive squares in only one way, i.e., 44289025 + 28344976 = 6655^2 + 5324^2 .

It is not a de Polignac number, because 72634001 - 2⁶ = 72633937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72634021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1771541 + ... + 1771581.

It is an arithmetic number, because the mean of its divisors is an integer number (5846151).

Almost surely, 2^72634001 is an apocalyptic number.

It is an amenable number.

72634001 is a deficient number, since it is larger than the sum of its proper divisors (9212113).

72634001 is an frugal number, since it uses more digits than its factorization.

72634001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 72634001 is about 8522.5583600231. The cubic root of 72634001 is about 417.2342860863.

Adding to 72634001 its reverse (10043627), we get a palindrome (82677628).

The spelling of 72634001 in words is "seventy-two million, six hundred thirty-four thousand, one".