72741032 has 64 divisors (see below), whose sum is σ = 169169280. Its totient is φ = 28553472.

The previous prime is 72740981. The next prime is 72741037. The reversal of 72741032 is 23014727.

It is a Harshad number since it is a multiple of its sum of digits (26).

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

It is a junction number, because it is equal to n+sod(n) for n = 72740992 and 72741010.

It is not an unprimeable number, because it can be changed into a prime (72741037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118358 + ... + 118970.

It is an arithmetic number, because the mean of its divisors is an integer number (2643270).

Almost surely, 2^72741032 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 72741032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84584640).

72741032 is an abundant number, since it is smaller than the sum of its proper divisors (96428248).

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

72741032 is a wasteful number, since it uses less digits than its factorization.

72741032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 72741032 is about 8528.8353249433. The cubic root of 72741032 is about 417.4391262676.

Adding to 72741032 its reverse (23014727), we get a palindrome (95755759).

The spelling of 72741032 in words is "seventy-two million, seven hundred forty-one thousand, thirty-two".