72959400 has 192 divisors, whose sum is σ = 256680000. Its totient is φ = 19042560.

The previous prime is 72959371. The next prime is 72959401. The reversal of 72959400 is 495927.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72959401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318486 + ... + 318714.

It is an arithmetic number, because the mean of its divisors is an integer number (1336875).

Almost surely, 2^72959400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72959400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128340000).

72959400 is an abundant number, since it is smaller than the sum of its proper divisors (183720600).

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

72959400 is a wasteful number, since it uses less digits than its factorization.

72959400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 72959400 is about 8541.6274795849. The cubic root of 72959400 is about 417.8564252829.

The spelling of 72959400 in words is "seventy-two million, nine hundred fifty-nine thousand, four hundred".