72454000 has 80 divisors (see below), whose sum is σ = 185586336. Its totient is φ = 27264000.

The previous prime is 72453967. The next prime is 72454027. The reversal of 72454000 is 45427.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32935 + ... + 35065.

Almost surely, 2^72454000 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 72454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92793168).

72454000 is an abundant number, since it is smaller than the sum of its proper divisors (113132336).

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

72454000 is a wasteful number, since it uses less digits than its factorization.

72454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 72454000 is about 8511.9915413492. The cubic root of 72454000 is about 416.8893387577.

Adding to 72454000 its reverse (45427), we get a palindrome (72499427).

The spelling of 72454000 in words is "seventy-two million, four hundred fifty-four thousand".