72014952240 has 480 divisors, whose sum is σ = 314643004416. Its totient is φ = 14313277440.

The previous prime is 72014952227. The next prime is 72014952283. The reversal of 72014952240 is 4225941027.

It is a super-2 number, since 2×72014952240² (a number of 23 digits) contains 22 as substring.

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 = 72014952195 and 72014952204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1246882 + ... + 1303358.

Almost surely, 2^72014952240 is an apocalyptic number.

72014952240 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 72014952240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157321502208).

72014952240 is an abundant number, since it is smaller than the sum of its proper divisors (242628052176).

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

72014952240 is a wasteful number, since it uses less digits than its factorization.

72014952240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56537 (or 56528 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 72014952240 in words is "seventy-two billion, fourteen million, nine hundred fifty-two thousand, two hundred forty".