72493356 has 96 divisors (see below), whose sum is σ = 190003968. Its totient is φ = 21369600.

The previous prime is 72493331. The next prime is 72493361. The reversal of 72493356 is 65339427.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677455 + ... + 677561.

It is an arithmetic number, because the mean of its divisors is an integer number (1979208).

Almost surely, 2^72493356 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 72493356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95001984).

72493356 is an abundant number, since it is smaller than the sum of its proper divisors (117510612).

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

72493356 is a wasteful number, since it uses less digits than its factorization.

72493356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 72493356 is about 8514.3030249105. The cubic root of 72493356 is about 416.9648079152.

The spelling of 72493356 in words is "seventy-two million, four hundred ninety-three thousand, three hundred fifty-six".