72501385 has 24 divisors (see below), whose sum is σ = 96190920. Its totient is φ = 52419840.

The previous prime is 72501361. The next prime is 72501409. The reversal of 72501385 is 58310527.

It is an interprime number because it is at equal distance from previous prime (72501361) and next prime (72501409).

It can be written as a sum of positive squares in 4 ways, for example, as 40284409 + 32216976 = 6347^2 + 5676^2 .

It is not a de Polignac number, because 72501385 - 2⁵ = 72501353 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177061 + ... + 177469.

It is an arithmetic number, because the mean of its divisors is an integer number (4007955).

Almost surely, 2^72501385 is an apocalyptic number.

It is an amenable number.

72501385 is a deficient number, since it is larger than the sum of its proper divisors (23689535).

72501385 is a wasteful number, since it uses less digits than its factorization.

72501385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 72501385 is about 8514.7745125752. The cubic root of 72501385 is about 416.9802009895.

The spelling of 72501385 in words is "seventy-two million, five hundred one thousand, three hundred eighty-five".