72365475 has 96 divisors (see below), whose sum is σ = 153990144. Its totient is φ = 29145600.

The previous prime is 72365467. The next prime is 72365483. The reversal of 72365475 is 57456327.

It is an interprime number because it is at equal distance from previous prime (72365467) and next prime (72365483).

It is not a de Polignac number, because 72365475 - 2³ = 72365467 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 156745 + ... + 157205.

It is an arithmetic number, because the mean of its divisors is an integer number (1604064).

Almost surely, 2^72365475 is an apocalyptic number.

72365475 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72365475 is an abundant number, since it is smaller than the sum of its proper divisors (81624669).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72365475 is a wasteful number, since it uses less digits than its factorization.

72365475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 512 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 72365475 is about 8506.7899351048. The cubic root of 72365475 is about 416.7194830825.

The spelling of 72365475 in words is "seventy-two million, three hundred sixty-five thousand, four hundred seventy-five".