72366840 has 288 divisors, whose sum is σ = 295757280. Its totient is φ = 14943744.

The previous prime is 72366829. The next prime is 72366851. The reversal of 72366840 is 4866327.

It is an interprime number because it is at equal distance from previous prime (72366829) and next prime (72366851).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72366795 and 72366804.

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, 1539697 + ... + 1539743.

It is an arithmetic number, because the mean of its divisors is an integer number (1026935).

Almost surely, 2^72366840 is an apocalyptic number.

72366840 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 72366840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147878640).

72366840 is an abundant number, since it is smaller than the sum of its proper divisors (223390440).

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

72366840 is a wasteful number, since it uses less digits than its factorization.

72366840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72366840 is about 8506.8701647551. The cubic root of 72366840 is about 416.7221032017.

The spelling of 72366840 in words is "seventy-two million, three hundred sixty-six thousand, eight hundred forty".