72378600 has 192 divisors, whose sum is σ = 270220800. Its totient is φ = 15655680.

The previous prime is 72378599. The next prime is 72378601. The reversal of 72378600 is 687327.

It is an interprime number because it is at equal distance from previous prime (72378599) and next prime (72378601).

It is not an unprimeable number, because it can be changed into a prime (72378601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79347 + ... + 80253.

It is an arithmetic number, because the mean of its divisors is an integer number (1407400).

Almost surely, 2^72378600 is an apocalyptic number.

72378600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72378600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135110400).

72378600 is an abundant number, since it is smaller than the sum of its proper divisors (197842200).

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

72378600 is a wasteful number, since it uses less digits than its factorization.

72378600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72378600 is about 8507.5613427116. The cubic root of 72378600 is about 416.7446751721.

The spelling of 72378600 in words is "seventy-two million, three hundred seventy-eight thousand, six hundred".