72949500 has 288 divisors, whose sum is σ = 262342080. Its totient is φ = 16934400.

The previous prime is 72949489. The next prime is 72949501. The reversal of 72949500 is 594927.

72949500 = T₄₂₄ + T₄₂₅ + ... + T₈₀₀.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72949501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1696479 + ... + 1696521.

It is an arithmetic number, because the mean of its divisors is an integer number (910910).

Almost surely, 2^72949500 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 72949500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131171040).

72949500 is an abundant number, since it is smaller than the sum of its proper divisors (189392580).

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

72949500 is a wasteful number, since it uses less digits than its factorization.

72949500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

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

The square root of 72949500 is about 8541.0479450709. The cubic root of 72949500 is about 417.8375245165.

The spelling of 72949500 in words is "seventy-two million, nine hundred forty-nine thousand, five hundred".