72600000 has 252 divisors, whose sum is σ = 263904984. Its totient is φ = 17600000.

The previous prime is 72599987. The next prime is 72600001. The reversal of 72600000 is 627.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72600001) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6599995 + ... + 6600005.

It is an arithmetic number, because the mean of its divisors is an integer number (1047242).

Almost surely, 2^72600000 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 72600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131952492).

72600000 is an abundant number, since it is smaller than the sum of its proper divisors (191304984).

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

72600000 is an equidigital number, since it uses as much as digits as its factorization.

72600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 72600000 is about 8520.5633616563. The cubic root of 72600000 is about 417.1691715075.

Multiplying 72600000 by its sum of digits (15), we get a square (1089000000 = 33000²).

72600000 divided by its sum of digits (15) gives a square (4840000 = 2200²).

Adding to 72600000 its reverse (627), we get a palindrome (72600627).

The spelling of 72600000 in words is "seventy-two million, six hundred thousand".