72467676400 has 240 divisors, whose sum is σ = 204446184448. Its totient is φ = 24167808000.

The previous prime is 72467676377. The next prime is 72467676401. The reversal of 72467676400 is 467676427.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72467676401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32627290 + ... + 32629510.

Almost surely, 2^72467676400 is an apocalyptic number.

72467676400 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 72467676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102223092224).

72467676400 is an abundant number, since it is smaller than the sum of its proper divisors (131978508048).

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

72467676400 is a wasteful number, since it uses less digits than its factorization.

72467676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 49.

The spelling of 72467676400 in words is "seventy-two billion, four hundred sixty-seven million, six hundred seventy-six thousand, four hundred".