72561510 has 96 divisors (see below), whose sum is σ = 217339200. Its totient is φ = 16452864.

The previous prime is 72561497. The next prime is 72561521. The reversal of 72561510 is 1516527.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 93484 + ... + 94256.

It is an arithmetic number, because the mean of its divisors is an integer number (2263950).

Almost surely, 2^72561510 is an apocalyptic number.

72561510 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72561510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108669600).

72561510 is an abundant number, since it is smaller than the sum of its proper divisors (144777690).

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

72561510 is a wasteful number, since it uses less digits than its factorization.

72561510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 72561510 is about 8518.3044087424. The cubic root of 72561510 is about 417.0954356037.

The spelling of 72561510 in words is "seventy-two million, five hundred sixty-one thousand, five hundred ten".