72468000 has 384 divisors, whose sum is σ = 292481280. Its totient is φ = 17280000.

The previous prime is 72467999. The next prime is 72468001. The reversal of 72468000 is 86427.

It is an interprime number because it is at equal distance from previous prime (72467999) and next prime (72468001).

It is a super-2 number, since 2×72468000² = 10503222048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72468001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1187970 + ... + 1188030.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^72468000 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 72468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

72468000 is an abundant number, since it is smaller than the sum of its proper divisors (220013280).

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

72468000 is a wasteful number, since it uses less digits than its factorization.

72468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72468000 is about 8512.8138708655. The cubic root of 72468000 is about 416.9161883214.

The spelling of 72468000 in words is "seventy-two million, four hundred sixty-eight thousand".