72086546 has 24 divisors (see below), whose sum is σ = 126077616. Its totient is φ = 30822120.

The previous prime is 72086543. The next prime is 72086557. The reversal of 72086546 is 64568027.

It is a happy number.

It is a super-2 number, since 2×72086546² = 10392940228420232, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72086543) 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, 79025 + ... + 79931.

It is an arithmetic number, because the mean of its divisors is an integer number (5253234).

Almost surely, 2^72086546 is an apocalyptic number.

72086546 is a deficient number, since it is larger than the sum of its proper divisors (53991070).

72086546 is a wasteful number, since it uses less digits than its factorization.

72086546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 72086546 is about 8490.3796145991. The cubic root of 72086546 is about 416.1833857695.

The spelling of 72086546 in words is "seventy-two million, eighty-six thousand, five hundred forty-six".