72636675 has 48 divisors (see below), whose sum is σ = 124658688. Its totient is φ = 37296000.

The previous prime is 72636673. The next prime is 72636701. The reversal of 72636675 is 57663627.

It is not a de Polignac number, because 72636675 - 2¹ = 72636673 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72636671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325614 + ... + 325836.

It is an arithmetic number, because the mean of its divisors is an integer number (2597056).

Almost surely, 2^72636675 is an apocalyptic number.

72636675 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72636675 is a deficient number, since it is larger than the sum of its proper divisors (52022013).

72636675 is a wasteful number, since it uses less digits than its factorization.

72636675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 375 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The square root of 72636675 is about 8522.7152363551. The cubic root of 72636675 is about 417.2394061438.

It can be divided in two parts, 726 and 36675, that added together give a triangular number (37401 = T₂₇₃).

The spelling of 72636675 in words is "seventy-two million, six hundred thirty-six thousand, six hundred seventy-five".