72903528 has 24 divisors (see below), whose sum is σ = 197447250. Its totient is φ = 24301152.

The previous prime is 72903521. The next prime is 72903529. The reversal of 72903528 is 82530927.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 72897444 + 6084 = 8538^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 72903492 and 72903501.

It is not an unprimeable number, because it can be changed into a prime (72903521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506203 + ... + 506346.

Almost surely, 2^72903528 is an apocalyptic number.

It is an amenable number.

72903528 is an abundant number, since it is smaller than the sum of its proper divisors (124543722).

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

72903528 is a wasteful number, since it uses less digits than its factorization.

72903528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012561 (or 1012554 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 72903528 is about 8538.3562820955. The cubic root of 72903528 is about 417.7497338158.

The spelling of 72903528 in words is "seventy-two million, nine hundred three thousand, five hundred twenty-eight".