7217536 has 32 divisors (see below), whose sum is σ = 14535000. Its totient is φ = 3569664.

The previous prime is 7217527. The next prime is 7217557. The reversal of 7217536 is 6357127.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×7217536² = 104185651822592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7217498 and 7217507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14215 + ... + 14713.

Almost surely, 2^7217536 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 7217536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267500).

7217536 is an abundant number, since it is smaller than the sum of its proper divisors (7317464).

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

7217536 is a wasteful number, since it uses less digits than its factorization.

7217536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 614 counting only the distinct ones).

The product of its digits is 8820, while the sum is 31.

The square root of 7217536 is about 2686.5472264600. The cubic root of 7217536 is about 193.2545166906.

It can be divided in two parts, 721 and 7536, that multiplied together give a triangular number (5433456 = T₃₂₉₆).

The spelling of 7217536 in words is "seven million, two hundred seventeen thousand, five hundred thirty-six".