72024152340 has 576 divisors, whose sum is σ = 257931475200. Its totient is φ = 14913110016.

The previous prime is 72024152339. The next prime is 72024152353. The reversal of 72024152340 is 4325142027.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72024152298 and 72024152307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 280249492 + ... + 280249748.

It is an arithmetic number, because the mean of its divisors is an integer number (447797700).

Almost surely, 2^72024152340 is an apocalyptic number.

72024152340 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 72024152340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128965737600).

72024152340 is an abundant number, since it is smaller than the sum of its proper divisors (185907322860).

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

72024152340 is a wasteful number, since it uses less digits than its factorization.

72024152340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 72024152340 its reverse (4325142027), we get a palindrome (76349294367).

The spelling of 72024152340 in words is "seventy-two billion, twenty-four million, one hundred fifty-two thousand, three hundred forty".