72603825 has 48 divisors (see below), whose sum is σ = 140574336. Its totient is φ = 32371200.

The previous prime is 72603809. The next prime is 72603863. The reversal of 72603825 is 52830627.

72603825 = T₃₂₈ + T₃₂₉ + ... + T₇₇₇.

It is not a de Polignac number, because 72603825 - 2⁴ = 72603809 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 19839 + ... + 23211.

It is an arithmetic number, because the mean of its divisors is an integer number (2928632).

Almost surely, 2^72603825 is an apocalyptic number.

72603825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72603825 is a deficient number, since it is larger than the sum of its proper divisors (67970511).

72603825 is a wasteful number, since it uses less digits than its factorization.

72603825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72603825 is about 8520.7878156893. The cubic root of 72603825 is about 417.1764976969.

The spelling of 72603825 in words is "seventy-two million, six hundred three thousand, eight hundred twenty-five".