72201780 has 120 divisors (see below), whose sum is σ = 258897408. Its totient is φ = 16500672.

The previous prime is 72201751. The next prime is 72201791. The reversal of 72201780 is 8710227.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 8157 + ... + 14523.

Almost surely, 2^72201780 is an apocalyptic number.

72201780 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 72201780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129448704).

72201780 is an abundant number, since it is smaller than the sum of its proper divisors (186695628).

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

72201780 is a wasteful number, since it uses less digits than its factorization.

72201780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72201780 is about 8497.1630559852. The cubic root of 72201780 is about 416.4050311246.

The spelling of 72201780 in words is "seventy-two million, two hundred one thousand, seven hundred eighty".