7407072 has 48 divisors (see below), whose sum is σ = 21606480. Its totient is φ = 2468736.

The previous prime is 7407061. The next prime is 7407073. The reversal of 7407072 is 2707047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×7407072² = 109729431226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7407073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3423 + ... + 5150.

It is an arithmetic number, because the mean of its divisors is an integer number (450135).

Almost surely, 2^7407072 is an apocalyptic number.

7407072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7407072 is an abundant number, since it is smaller than the sum of its proper divisors (14199408).

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

7407072 is a wasteful number, since it uses less digits than its factorization.

7407072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8592 (or 8578 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 7407072 is about 2721.5936507862. The cubic root of 7407072 is about 194.9315736248.

The spelling of 7407072 in words is "seven million, four hundred seven thousand, seventy-two".