72465600 has 168 divisors, whose sum is σ = 245920768. Its totient is φ = 18662400.

The previous prime is 72465593. The next prime is 72465607. The reversal of 72465600 is 656427.

It is an interprime number because it is at equal distance from previous prime (72465593) and next prime (72465607).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (72465607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148557 + ... + 149043.

Almost surely, 2^72465600 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 72465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122960384).

72465600 is an abundant number, since it is smaller than the sum of its proper divisors (173455168).

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

72465600 is a wasteful number, since it uses less digits than its factorization.

72465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 72465600 is about 8512.6729057330. The cubic root of 72465600 is about 416.9115857847.

The spelling of 72465600 in words is "seventy-two million, four hundred sixty-five thousand, six hundred".