72965201400 has 288 divisors, whose sum is σ = 301590176160. Its totient is φ = 15394821120.

The previous prime is 72965201381. The next prime is 72965201431. The reversal of 72965201400 is 410256927.

72965201400 is a `hidden beast` number, since 7 + 2 + 96 + 520 + 1 + 40 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 58927 + ... + 386526.

Almost surely, 2^72965201400 is an apocalyptic number.

72965201400 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 72965201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150795088080).

72965201400 is an abundant number, since it is smaller than the sum of its proper divisors (228624974760).

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

72965201400 is a wasteful number, since it uses less digits than its factorization.

72965201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445495 (or 445483 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 72965201400 in words is "seventy-two billion, nine hundred sixty-five million, two hundred one thousand, four hundred".