72264407040 has 384 divisors, whose sum is σ = 293582016000. Its totient is φ = 16517136384.

The previous prime is 72264407029. The next prime is 72264407069. The reversal of 72264407040 is 4070446227.

It is a happy number.

72264407040 is a `hidden beast` number, since 7 + 2 + 2 + 644 + 0 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 72264406986 and 72264407004.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1916691 + ... + 1954029.

It is an arithmetic number, because the mean of its divisors is an integer number (764536500).

Almost surely, 2^72264407040 is an apocalyptic number.

72264407040 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 72264407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146791008000).

72264407040 is an abundant number, since it is smaller than the sum of its proper divisors (221317608960).

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

72264407040 is a wasteful number, since it uses less digits than its factorization.

72264407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37382 (or 37356 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 72264407040 in words is "seventy-two billion, two hundred sixty-four million, four hundred seven thousand, forty".