672072076500 has 192 divisors, whose sum is σ = 2153889384192. Its totient is φ = 161484288000.

The previous prime is 672072076471. The next prime is 672072076519. The reversal of 672072076500 is 5670270276.

672072076500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×672072076500² (a number of 24 digits) contains 22 as substring.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1684272 + ... + 2044728.

It is an arithmetic number, because the mean of its divisors is an integer number (11218173876).

Almost surely, 2^672072076500 is an apocalyptic number.

672072076500 is a gapful number since it is divisible by the number (60) 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 672072076500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076944692096).

672072076500 is an abundant number, since it is smaller than the sum of its proper divisors (1481817307692).

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

672072076500 is a wasteful number, since it uses less digits than its factorization.

672072076500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360603 (or 360591 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 672072076500 in words is "six hundred seventy-two billion, seventy-two million, seventy-six thousand, five hundred".