72745456 has 40 divisors (see below), whose sum is σ = 166641120. Its totient is φ = 30100224.

The previous prime is 72745417. The next prime is 72745457. The reversal of 72745456 is 65454727.

It is a super-3 number, since 3×72745456³ (a number of 25 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72745457) 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, 7951 + ... + 14446.

It is an arithmetic number, because the mean of its divisors is an integer number (4166028).

Almost surely, 2^72745456 is an apocalyptic number.

It is an amenable number.

72745456 is an abundant number, since it is smaller than the sum of its proper divisors (93895664).

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

72745456 is a wasteful number, since it uses less digits than its factorization.

72745456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22441 (or 22435 counting only the distinct ones).

The product of its digits is 235200, while the sum is 40.

The square root of 72745456 is about 8529.0946764589. The cubic root of 72745456 is about 417.4475887690.

The spelling of 72745456 in words is "seventy-two million, seven hundred forty-five thousand, four hundred fifty-six".