72782619 has 16 divisors (see below), whose sum is σ = 119438592. Its totient is φ = 38390688.

The previous prime is 72782579. The next prime is 72782629. The reversal of 72782619 is 91628727.

It is not a de Polignac number, because 72782619 - 2¹⁹ = 72258331 is a prime.

It is a super-2 number, since 2×72782619² = 10594619256998322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72782629) 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 15 ways as a sum of consecutive naturals, for example, 133029 + ... + 133574.

It is an arithmetic number, because the mean of its divisors is an integer number (7464912).

Almost surely, 2^72782619 is an apocalyptic number.

72782619 is a deficient number, since it is larger than the sum of its proper divisors (46655973).

72782619 is a wasteful number, since it uses less digits than its factorization.

72782619 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266626.

The product of its digits is 84672, while the sum is 42.

The square root of 72782619 is about 8531.2729999690. The cubic root of 72782619 is about 417.5186629161.

The spelling of 72782619 in words is "seventy-two million, seven hundred eighty-two thousand, six hundred nineteen".