72514575 has 96 divisors (see below), whose sum is σ = 154752000. Its totient is φ = 32607360.

The previous prime is 72514567. The next prime is 72514591. The reversal of 72514575 is 57541527.

72514575 is a `hidden beast` number, since 72 + 5 + 14 + 575 = 666.

It is not a de Polignac number, because 72514575 - 2³ = 72514567 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 486601 + ... + 486749.

It is an arithmetic number, because the mean of its divisors is an integer number (1612000).

Almost surely, 2^72514575 is an apocalyptic number.

72514575 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72514575 is an abundant number, since it is smaller than the sum of its proper divisors (82237425).

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

72514575 is a wasteful number, since it uses less digits than its factorization.

72514575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its digits is 49000, while the sum is 36.

The square root of 72514575 is about 8515.5490134224. The cubic root of 72514575 is about 417.0054861863.

The spelling of 72514575 in words is "seventy-two million, five hundred fourteen thousand, five hundred seventy-five".