72045460 has 24 divisors (see below), whose sum is σ = 151766496. Its totient is φ = 28728480.

The previous prime is 72045451. The next prime is 72045469. The reversal of 72045460 is 6454027.

It is an interprime number because it is at equal distance from previous prime (72045451) and next prime (72045469).

It is a super-2 number, since 2×72045460² = 10381096613223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72045469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1179 + ... + 12061.

It is an arithmetic number, because the mean of its divisors is an integer number (6323604).

Almost surely, 2^72045460 is an apocalyptic number.

It is an amenable number.

72045460 is an abundant number, since it is smaller than the sum of its proper divisors (79721036).

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

72045460 is a wasteful number, since it uses less digits than its factorization.

72045460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11223 (or 11221 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 72045460 is about 8487.9597077272. The cubic root of 72045460 is about 416.1043023104.

Adding to 72045460 its reverse (6454027), we get a palindrome (78499487).

The spelling of 72045460 in words is "seventy-two million, forty-five thousand, four hundred sixty".