72894375 has 30 divisors (see below), whose sum is σ = 131582880. Its totient is φ = 38874000.

The previous prime is 72894373. The next prime is 72894401. The reversal of 72894375 is 57349827.

It is not a de Polignac number, because 72894375 - 2¹ = 72894373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72894375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72894373) 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 29 ways as a sum of consecutive naturals, for example, 855 + ... + 12104.

It is an arithmetic number, because the mean of its divisors is an integer number (4386096).

Almost surely, 2^72894375 is an apocalyptic number.

72894375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72894375 is a deficient number, since it is larger than the sum of its proper divisors (58688505).

72894375 is a wasteful number, since it uses less digits than its factorization.

72894375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12985 (or 12967 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 72894375 is about 8537.8202721772. The cubic root of 72894375 is about 417.7322503302.

It can be divided in two parts, 7289 and 4375, that added together give a square (11664 = 108²).

The spelling of 72894375 in words is "seventy-two million, eight hundred ninety-four thousand, three hundred seventy-five".