72188440 has 16 divisors (see below), whose sum is σ = 162424080. Its totient is φ = 28875360.

The previous prime is 72188407. The next prime is 72188521. The reversal of 72188440 is 4488127.

It is a super-2 number, since 2×72188440² = 10422341739267200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72188396 and 72188405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 902316 + ... + 902395.

It is an arithmetic number, because the mean of its divisors is an integer number (10151505).

Almost surely, 2^72188440 is an apocalyptic number.

It is an amenable number.

72188440 is an abundant number, since it is smaller than the sum of its proper divisors (90235640).

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

72188440 is a wasteful number, since it uses less digits than its factorization.

72188440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804722 (or 1804718 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 72188440 is about 8496.3780518524. The cubic root of 72188440 is about 416.3793845489.

The spelling of 72188440 in words is "seventy-two million, one hundred eighty-eight thousand, four hundred forty".