72456000 has 112 divisors (see below), whose sum is σ = 239328960. Its totient is φ = 19315200.

The previous prime is 72455909. The next prime is 72456001. The reversal of 72456000 is 65427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72456001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22491 + ... + 25509.

Almost surely, 2^72456000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119664480).

72456000 is an abundant number, since it is smaller than the sum of its proper divisors (166872960).

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

72456000 is a wasteful number, since it uses less digits than its factorization.

72456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 72456000 is about 8512.1090218582. The cubic root of 72456000 is about 416.8931746214.

The spelling of 72456000 in words is "seventy-two million, four hundred fifty-six thousand".