72262041600 has 720 divisors, whose sum is σ = 282922336256. Its totient is φ = 15925248000.

The previous prime is 72262041571. The next prime is 72262041629. The reversal of 72262041600 is 614026227.

It is an interprime number because it is at equal distance from previous prime (72262041571) and next prime (72262041629).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266649465 + ... + 266649735.

Almost surely, 2^72262041600 is an apocalyptic number.

72262041600 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 72262041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141461168128).

72262041600 is an abundant number, since it is smaller than the sum of its proper divisors (210660294656).

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

72262041600 is a wasteful number, since it uses less digits than its factorization.

72262041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 72262041600 its reverse (614026227), we get a palindrome (72876067827).

The spelling of 72262041600 in words is "seventy-two billion, two hundred sixty-two million, forty-one thousand, six hundred".