72078300 has 216 divisors, whose sum is σ = 273794976. Its totient is φ = 15482880.

The previous prime is 72078299. The next prime is 72078313. The reversal of 72078300 is 387027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106764 + ... + 107436.

Almost surely, 2^72078300 is an apocalyptic number.

72078300 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 72078300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136897488).

72078300 is an abundant number, since it is smaller than the sum of its proper divisors (201716676).

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

72078300 is a wasteful number, since it uses less digits than its factorization.

72078300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72078300 is about 8489.8939922710. The cubic root of 72078300 is about 416.1675160534.

The spelling of 72078300 in words is "seventy-two million, seventy-eight thousand, three hundred".