72150432900 has 288 divisors, whose sum is σ = 263877277440. Its totient is φ = 14811310080.

The previous prime is 72150432899. The next prime is 72150432917. The reversal of 72150432900 is 923405127.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 974386 + ... + 1045814.

Almost surely, 2^72150432900 is an apocalyptic number.

72150432900 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 72150432900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131938638720).

72150432900 is an abundant number, since it is smaller than the sum of its proper divisors (191726844540).

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

72150432900 is a wasteful number, since it uses less digits than its factorization.

72150432900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71503 (or 71496 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 72150432900 in words is "seventy-two billion, one hundred fifty million, four hundred thirty-two thousand, nine hundred".