72012402000 has 1600 divisors, whose sum is σ = 339746254848. Its totient is φ = 14256000000.

The previous prime is 72012401959. The next prime is 72012402013. The reversal of 72012402000 is 20421027.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 286901875 + ... + 286902125.

Almost surely, 2^72012402000 is an apocalyptic number.

72012402000 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 72012402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169873127424).

72012402000 is an abundant number, since it is smaller than the sum of its proper divisors (267733852848).

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

72012402000 is a wasteful number, since it uses less digits than its factorization.

72012402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 72012402000 its reverse (20421027), we get a palindrome (72032823027).

The spelling of 72012402000 in words is "seventy-two billion, twelve million, four hundred two thousand".