72867240 has 48 divisors (see below), whose sum is σ = 236819700. Its totient is φ = 19431168.

The previous prime is 72867211. The next prime is 72867269. The reversal of 72867240 is 4276827.

It is an interprime number because it is at equal distance from previous prime (72867211) and next prime (72867269).

It can be written as a sum of positive squares in 2 ways, for example, as 71470116 + 1397124 = 8454^2 + 1182^2 .

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 = 72867195 and 72867204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100845 + ... + 101564.

Almost surely, 2^72867240 is an apocalyptic number.

It is an amenable number.

72867240 is an abundant number, since it is smaller than the sum of its proper divisors (163952460).

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

72867240 is a wasteful number, since it uses less digits than its factorization.

72867240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202426 (or 202419 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72867240 is about 8536.2310184296. The cubic root of 72867240 is about 417.6804101555.

The spelling of 72867240 in words is "seventy-two million, eight hundred sixty-seven thousand, two hundred forty".