72678240 has 144 divisors (see below), whose sum is σ = 254270016. Its totient is φ = 18892800.

The previous prime is 72678239. The next prime is 72678241. The reversal of 72678240 is 4287627.

It is an interprime number because it is at equal distance from previous prime (72678239) and next prime (72678241).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 72678195 and 72678204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72678241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58425 + ... + 59655.

It is an arithmetic number, because the mean of its divisors is an integer number (1765764).

Almost surely, 2^72678240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127135008).

72678240 is an abundant number, since it is smaller than the sum of its proper divisors (181591776).

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

72678240 is a wasteful number, since it uses less digits than its factorization.

72678240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1282 counting only the distinct ones).

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

The square root of 72678240 is about 8525.1533710544. The cubic root of 72678240 is about 417.3189768244.

The spelling of 72678240 in words is "seventy-two million, six hundred seventy-eight thousand, two hundred forty".