72262554 has 128 divisors (see below), whose sum is σ = 188966400. Its totient is φ = 18289152.

The previous prime is 72262549. The next prime is 72262579. The reversal of 72262554 is 45526227.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 989862 + ... + 989934.

It is an arithmetic number, because the mean of its divisors is an integer number (1476300).

Almost surely, 2^72262554 is an apocalyptic number.

72262554 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72262554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94483200).

72262554 is an abundant number, since it is smaller than the sum of its proper divisors (116703846).

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

72262554 is a wasteful number, since it uses less digits than its factorization.

72262554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 72262554 is about 8500.7384385123. The cubic root of 72262554 is about 416.5218311180.

The spelling of 72262554 in words is "seventy-two million, two hundred sixty-two thousand, five hundred fifty-four".