72695200 has 72 divisors (see below), whose sum is σ = 179636940. Its totient is φ = 28723200.

The previous prime is 72695191. The next prime is 72695209. The reversal of 72695200 is 259627.

It is an interprime number because it is at equal distance from previous prime (72695191) and next prime (72695209).

It can be written as a sum of positive squares in 6 ways, for example, as 17875984 + 54819216 = 4228^2 + 7404^2 .

It is not an unprimeable number, because it can be changed into a prime (72695209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70690 + ... + 71710.

Almost surely, 2^72695200 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 72695200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89818470).

72695200 is an abundant number, since it is smaller than the sum of its proper divisors (106941740).

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

72695200 is a wasteful number, since it uses less digits than its factorization.

72695200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 72695200 is about 8526.1480165430. The cubic root of 72695200 is about 417.3514357803.

The spelling of 72695200 in words is "seventy-two million, six hundred ninety-five thousand, two hundred".