72740000 has 60 divisors (see below), whose sum is σ = 179000514. Its totient is φ = 29088000.

The previous prime is 72739987. The next prime is 72740029. The reversal of 72740000 is 4727.

It can be written as a sum of positive squares in 5 ways, for example, as 2917264 + 69822736 = 1708^2 + 8356^2 .

It is a super-2 number, since 2×72740000² = 10582215200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18182 + ... + 21818.

Almost surely, 2^72740000 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 72740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89500257).

72740000 is an abundant number, since it is smaller than the sum of its proper divisors (106260514).

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

72740000 is an equidigital number, since it uses as much as digits as its factorization.

72740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 72740000 is about 8528.7748240882. The cubic root of 72740000 is about 417.4371521447.

Adding to 72740000 its reverse (4727), we get a palindrome (72744727).

The spelling of 72740000 in words is "seventy-two million, seven hundred forty thousand".