72059400 has 432 divisors, whose sum is σ = 303217200. Its totient is φ = 15240960.

The previous prime is 72059399. The next prime is 72059401. The reversal of 72059400 is 495027.

72059400 is a `hidden beast` number, since 72 + 0 + 594 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72059399) and next prime (72059401).

It is not an unprimeable number, because it can be changed into a prime (72059401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1675779 + ... + 1675821.

Almost surely, 2^72059400 is an apocalyptic number.

72059400 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 72059400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151608600).

72059400 is an abundant number, since it is smaller than the sum of its proper divisors (231157800).

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

72059400 is a wasteful number, since it uses less digits than its factorization.

72059400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72059400 is about 8488.7808311912. The cubic root of 72059400 is about 416.1311377738.

The spelling of 72059400 in words is "seventy-two million, fifty-nine thousand, four hundred".