72747072 has 70 divisors (see below), whose sum is σ = 215660478. Its totient is φ = 24247296.

The previous prime is 72747061. The next prime is 72747083. The reversal of 72747072 is 27074727.

It is an interprime number because it is at equal distance from previous prime (72747061) and next prime (72747083).

It can be written as a sum of positive squares in only one way, i.e., 48776256 + 23970816 = 6984^2 + 4896^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1833 + ... + 12200.

Almost surely, 2^72747072 is an apocalyptic number.

72747072 is a gapful number since it is divisible by the number (72) 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 72747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107830239).

72747072 is an abundant number, since it is smaller than the sum of its proper divisors (142913406).

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

72747072 is a wasteful number, since it uses less digits than its factorization.

72747072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14057 (or 14038 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 72747072 is about 8529.1894104891. The cubic root of 72747072 is about 417.4506798684.

The spelling of 72747072 in words is "seventy-two million, seven hundred forty-seven thousand, seventy-two".