72493542 has 80 divisors (see below), whose sum is σ = 187708752. Its totient is φ = 20666880.

The previous prime is 72493537. The next prime is 72493549. The reversal of 72493542 is 24539427.

72493542 is a `hidden beast` number, since 7 + 24 + 93 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72493497 and 72493506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72493549) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29098 + ... + 31490.

Almost surely, 2^72493542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72493542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93854376).

72493542 is an abundant number, since it is smaller than the sum of its proper divisors (115215210).

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

72493542 is a wasteful number, since it uses less digits than its factorization.

72493542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2426 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 72493542 is about 8514.3139477001. The cubic root of 72493542 is about 416.9651645244.

The spelling of 72493542 in words is "seventy-two million, four hundred ninety-three thousand, five hundred forty-two".