72519261 has 24 divisors (see below), whose sum is σ = 102269184. Its totient is φ = 45661440.

The previous prime is 72519241. The next prime is 72519269. The reversal of 72519261 is 16291527.

It is not a de Polignac number, because 72519261 - 2⁶ = 72519197 is a prime.

It is a super-2 number, since 2×72519261² = 10518086431972242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72519269) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 205261 + ... + 205613.

It is an arithmetic number, because the mean of its divisors is an integer number (4261216).

Almost surely, 2^72519261 is an apocalyptic number.

It is an amenable number.

72519261 is a deficient number, since it is larger than the sum of its proper divisors (29749923).

72519261 is a wasteful number, since it uses less digits than its factorization.

72519261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 434 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 72519261 is about 8515.8241527171. The cubic root of 72519261 is about 417.0144684983.

The spelling of 72519261 in words is "seventy-two million, five hundred nineteen thousand, two hundred sixty-one".