72966519 has 12 divisors (see below), whose sum is σ = 105791400. Its totient is φ = 48461904.

The previous prime is 72966497. The next prime is 72966547. The reversal of 72966519 is 91566927.

It is a happy number.

72966519 is a `hidden beast` number, since 72 + 9 + 66 + 519 = 666.

It is not a de Polignac number, because 72966519 - 2⁸ = 72966263 is a prime.

It is a super-2 number, since 2×72966519² = 10648225789954722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72966559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12649 + ... + 17490.

It is an arithmetic number, because the mean of its divisors is an integer number (8815950).

Almost surely, 2^72966519 is an apocalyptic number.

72966519 is a deficient number, since it is larger than the sum of its proper divisors (32824881).

72966519 is a wasteful number, since it uses less digits than its factorization.

72966519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30414 (or 30411 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 72966519 is about 8542.0441932830. The cubic root of 72966519 is about 417.8700155954.

The spelling of 72966519 in words is "seventy-two million, nine hundred sixty-six thousand, five hundred nineteen".