72456440 has 64 divisors (see below), whose sum is σ = 194434560. Its totient is φ = 23760000.

The previous prime is 72456437. The next prime is 72456479. The reversal of 72456440 is 4465427.

It is a junction number, because it is equal to n+sod(n) for n = 72456397 and 72456406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815 + ... + 12065.

It is an arithmetic number, because the mean of its divisors is an integer number (3038040).

Almost surely, 2^72456440 is an apocalyptic number.

72456440 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 72456440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97217280).

72456440 is an abundant number, since it is smaller than the sum of its proper divisors (121978120).

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

72456440 is a wasteful number, since it uses less digits than its factorization.

72456440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11292 (or 11288 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 72456440 is about 8512.1348673526. The cubic root of 72456440 is about 416.8940185020.

The spelling of 72456440 in words is "seventy-two million, four hundred fifty-six thousand, four hundred forty".