72934211700 has 432 divisors, whose sum is σ = 273523118400. Its totient is φ = 16623532800.

The previous prime is 72934211671. The next prime is 72934211719. The reversal of 72934211700 is 711243927.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 71573791 + ... + 71574809.

Almost surely, 2^72934211700 is an apocalyptic number.

72934211700 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 72934211700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136761559200).

72934211700 is an abundant number, since it is smaller than the sum of its proper divisors (200588906700).

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

72934211700 is a wasteful number, since it uses less digits than its factorization.

72934211700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 72934211700 in words is "seventy-two billion, nine hundred thirty-four million, two hundred eleven thousand, seven hundred".