72642563700 has 576 divisors, whose sum is σ = 254183731200. Its totient is φ = 16003008000.

The previous prime is 72642563699. The next prime is 72642563743. The reversal of 72642563700 is 736524627.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 445659819 + ... + 445659981.

It is an arithmetic number, because the mean of its divisors is an integer number (441291200).

Almost surely, 2^72642563700 is an apocalyptic number.

72642563700 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 72642563700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127091865600).

72642563700 is an abundant number, since it is smaller than the sum of its proper divisors (181541167500).

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

72642563700 is a wasteful number, since it uses less digits than its factorization.

72642563700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 72642563700 in words is "seventy-two billion, six hundred forty-two million, five hundred sixty-three thousand, seven hundred".