72192780 has 216 divisors, whose sum is σ = 254623824. Its totient is φ = 16416000.

The previous prime is 72192767. The next prime is 72192797. The reversal of 72192780 is 8729127.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 714730 + ... + 714830.

It is an arithmetic number, because the mean of its divisors is an integer number (1178814).

Almost surely, 2^72192780 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 72192780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127311912).

72192780 is an abundant number, since it is smaller than the sum of its proper divisors (182431044).

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

72192780 is a wasteful number, since it uses less digits than its factorization.

72192780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 72192780 is about 8496.6334509616. The cubic root of 72192780 is about 416.3877286841.

It can be divided in two parts, 7219 and 2780, that added together give a palindrome (9999).

The spelling of 72192780 in words is "seventy-two million, one hundred ninety-two thousand, seven hundred eighty".