72801840 has 40 divisors (see below), whose sum is σ = 225686448. Its totient is φ = 19413760.

The previous prime is 72801793. The next prime is 72801887. The reversal of 72801840 is 4810827.

It is an interprime number because it is at equal distance from previous prime (72801793) and next prime (72801887).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 72801798 and 72801807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151431 + ... + 151910.

Almost surely, 2^72801840 is an apocalyptic number.

It is an amenable number.

72801840 is an abundant number, since it is smaller than the sum of its proper divisors (152884608).

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

72801840 is a wasteful number, since it uses less digits than its factorization.

72801840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303357 (or 303351 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 72801840 is about 8532.3994280624. The cubic root of 72801840 is about 417.5554135395. Note that the first 3 decimals are identical.

The spelling of 72801840 in words is "seventy-two million, eight hundred one thousand, eight hundred forty".