72256464 has 120 divisors (see below), whose sum is σ = 233804480. Its totient is φ = 20404224.

The previous prime is 72256463. The next prime is 72256493. The reversal of 72256464 is 46465227.

72256464 is a `hidden beast` number, since 7 + 2 + 2 + 5 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72256463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97407 + ... + 98145.

Almost surely, 2^72256464 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 72256464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116902240).

72256464 is an abundant number, since it is smaller than the sum of its proper divisors (161548016).

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

72256464 is a wasteful number, since it uses less digits than its factorization.

72256464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 848 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 72256464 is about 8500.3802267899. The cubic root of 72256464 is about 416.5101298561.

It can be divided in two parts, 7225 and 6464, that added together give a square (13689 = 117²).

The spelling of 72256464 in words is "seventy-two million, two hundred fifty-six thousand, four hundred sixty-four".