72254910 has 192 divisors, whose sum is σ = 229824000. Its totient is φ = 14370048.

The previous prime is 72254909. The next prime is 72254957. The reversal of 72254910 is 1945227.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362991 + ... + 363189.

It is an arithmetic number, because the mean of its divisors is an integer number (1197000).

Almost surely, 2^72254910 is an apocalyptic number.

72254910 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72254910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

72254910 is an abundant number, since it is smaller than the sum of its proper divisors (157569090).

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

72254910 is a wasteful number, since it uses less digits than its factorization.

72254910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 72254910 is about 8500.2888186226. The cubic root of 72254910 is about 416.5071439115.

The spelling of 72254910 in words is "seventy-two million, two hundred fifty-four thousand, nine hundred ten".